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Let's solve the problem step by step:

The ratio of the number of girls to boys in the swimming club at first is given as 7:2. 

Let the number of girls be \( 7x \) and the number of boys be \( 2x \).

So, the total number of members initially is:
\[
7x + 2x = 9x
\]

After 63 new members joined the club, the total number of members became 1440. Therefore, we can express this as:
\[
9x + 63 = 1440
\]

Now, solving for \( x \):
\[
9x = 1440 - 63 = 1377
\]
\[
x = \frac{1377}{9} = 153
\]

Thus, the number of girls initially was:
\[
7x = 7 \times 153 = 1071
\]

Therefore, there were **1,071 girls** in the swimming club at first.

Would you like further clarification or details?

Here are 5 related questions to expand your understanding:
1. What was the initial number of boys in the club?
2. How many members were in the club initially before the new members joined?
3. If the ratio had been different, say 5:3, how would that affect the solution?
4. What if 100 new members had joined instead of 63? How would that change the number of members at first?
5. How can you verify the solution using a different method, such as proportions?

**Tip:** Always double-check your final equation to ensure no mistakes in translating the word problem into algebraic expressions!

The ratio of the number of girls to the number of boys in a swimming club was 7:2 at first. When 63 new members joined the club, the total number of members in the swimming club became 1,440. How many girls were in the swimming club at first?

Solve a problem where the ratio of girls to boys in a club is 7:2. With 63 new members, the total number becomes 1,440. Learn how to determine the initial number of girls using algebra and ratios. Suitable for Grades 7-9.

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