
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
In one container, there are 6 liters of a homogeneous mixture of two liquids (alpha and beta) in the ratio $7:2$. In another container, there are 9 liters of another mixture with the same two liquids (alpha and beta) in the ratio $4:7$. By mixing the liquids from the two containers, what will be the new ratio?

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