My corrections are the highlighted parts of the sentences. 

Please correct the sentences below?

Please correct the sentences below?
It would be great if you could help me to make them better as well.
Thank you in advance.



Exercise allows keeping the flexibility of body which is significant for firefighter, due to encounter with complex and variety missions.  Excercise allows the body to be flexible which is important for firefighters due to their encounters with a variety of complex missions/situations.

Based on this technique, flexibility of the process is kept as well as increasing the ability of process to create complex parts, which has received considerable attention recently.  Based on this technique, the flexiblity of the process and the ability of the process to create complex components has recieved a considerable amount of attention recently. 

Defining a solution's path is one of the complexities of analyzing of the process.  

According to the solution's path equipment of the process was designed and manufactured.  The solution's path equipment was designed and manufactured. 

The analysis indicated that "A" has extremely less proportion compared with "B".

The analysis indicated that "A" in comparison to "B" is extremely less proportioned. 

Therefore, suitable pressure is created at the tool and part conjunction, due to higher height at the ?point. (I believe there should be another word at ? but I do not know the topic.)

Great job by the way! Good vocabulary. 

Exercise allows (who and to what?) you to keeping the flexibility of body flexible, which is significant for firefighters (for all firefighters, not just one), due to a variety of encounters (more than one encounter) with complex and variety missions. (The encounters are varied - the mission remains the same - saving people). 

Exercise allows you to keep your body flexible, which is significant for firefighters, due to a variety of encounters with complex missions. 

Based on this technique, flexibility of the process is kept flexible as well as  while (at the same time) increasing its' the ability (the ability of it) of process to create complex parts. which This has received considerable attention recently.

Based on this technique, the process is kept flexible while increasing its' ability to create complex parts. This has received considerable attention recently. 

Defining a solution's path (what is the solutions path? it is the way) is one of complexities of the analyzing of the process.(put this back to front to sound clearer). 

One of the complexities of the analyzing process is defining the sequence of events that lead to the conclusion. 

According to the solution's path the equipment of the process was designed and manufactured. (put this back to front again)

The equipment was designed and manufactured according to the solution path. 

The analysis indicated that "A" has extremely less proportion is proportionally less compared with "B". 

The analysis indicated that "A" is proportionally less compared with "B". 

Therefore, a suitable pressure was created at the tool and part conjunction, due to higher the greater (sounds better) height at that point.

Therefore, a suitable pressure was created at the tool and part conjunction, due to the greater height at that point. 

This was pretty difficult to pull apart and correct. When writing, it's important to keep in mind that you should be able to gather context from the sentences. This calls for them to be clear and concise. Sometimes this means using shorter sentences and basic grammar. 

I took what you are writing as separate sentences as I couldn't figure our how to tie them together this seems like it may be part of a larger article.  You are referring to "processes" and "solutions" but since I don't know the context it is hard to make corrections:

Exercise allows the body to remain flexible which is significant for firefighters, due to encounters of a variety of complex missions.

This technique allows for flexibility as well as increasing the ability of the process to create complex parts, which has received considerable attention recently.

Defining a solutions path is one of complexities of analyzing of the process. I don't see that a solution has a path as it would be an answer....maybe reword or explain your solutions/processes

According to the solution's path equipment of the process was designed and manufactured.

We have designed and manufactured equipment specifically to streamline the process.

I stopped here.  It is too early, i'll come back and attempt to make more corrections after my second cup of coffee.  The terminology and the points you are trying to make seem, almost industrial in nature and it is too early for my brain to be of any use. ^_^
The analysis indicated that "A" has extremely less proportion compare with "B".

Therefore, suitable pressure created at the tool and part conjunction, due to higher height at the point.

Exercise allows to keep the flexibility of body which is significant for firefighter, since is faced with complex and various missions.

Baseing on this technique, the flexibility of the process is kept as well as increases the ability of process to create complex parts, which has received considerable attention recently.