
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
For the nonzero numbers $a$, $b$, and $c$, where $b = a/k$ and $c = kb$ for some nonzero $k$, define 
$$
\text{J}(a,b,c) = \frac{a}{b} + \frac{b}{c} + \frac{c}{a}.
$$
Find $\text{J}(3, \frac{3}{4}, 4)$.

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