
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
Five points, $E, F, G, H, I$ lie consecutively on a straight line. The distances are as follows: $EF = 3$ units, $FG = 6$ units, $GH = 4$ units, and $HI = 2$ units. If $EI$ represents the total distance from $E$ to $I$, find the ratio of $EG$ to $HI$.

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