
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
Xinjiang region has a dry climate and is one of the three major cotton-producing areas in China, producing high-quality long-staple cotton. In an experiment on the germination rate of a certain variety of long-staple cotton seeds, research institute staff selected experimental fields with basically the same conditions, sowed seeds simultaneously, and determined the germination rate, obtaining the following data:

| Number of<br/>cotton seeds| $100$ | $200$ | $500$ | $1000$ | $2000$ | $5000$ | $10000$ |
|---|---|---|---|---|---|---|---|
| Number of<br/>germinated seeds| $98$ | $192$ | $478$ | $953$ | $1902$ | $4758$ | $9507$ |

Then the germination rate of this variety of long-staple cotton seeds is approximately ______ (rounded to $0.01$).

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