
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Consider two triangles, $\triangle FGH$ and $\triangle FJK$, in a plane such that $\angle FGH = \angle FJK$. If $FG = 4.5$, $GH = 6$, and $FJ = 3$, find the length of $JK$ assuming that the ratio of sides $GH:FJ$ is proportionally equal to the ratio of $FG:JK$.
A) $2.25$
B) $9$
C) $4.5$
D) $18$

Present the answer in LaTex format: \boxed{Your answer}
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