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Divide 4000 into three parts inversely proportional to 3, 5, and 9.

Sagot :

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Answer:

Step-by-step explanation:

**Solution:**

Let the three parts be represented by x, y, and z.

According to the given information, we have:

(x : y : z = frac{1}{3} : frac{1}{5} : frac{1}{9} = 5 : 3 : 1)

This means that the parts are in the ratio 5 : 3 : 1.

Let the parts be 5x, 3x, and x respectively.

According to the question, the sum of these parts is equal to 4000:

5x + 3x + x = 4000

[9x = 4000]

[x = frac{4000}{9}]

[x = 444.44]

Therefore,

The three parts are:

1st part = 5x = 5 * 444.44 = 2222.22

2nd part = 3x = 3 * 444.44 = 1333.33

3rd part = x = 444.44

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