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Finding the Fourth Proportional to 6,592.16, 9,882.30 and 2,429.30

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Solution

The fourth proportional to 6,592.16, 9,882.30 and 2,429.30 is: 3,641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.16 : 9,882.30 = 2,429.30 : x
  2. Step 2: Convert to fraction form
    6,592.16/9,882.30 = 2,429.30/x
  3. Step 3: Cross multiply
    6,592.16x = 9,882.30 × 2,429.30
  4. Step 4: Simplify right side
    6,592.16x = 24,007,071.39
  5. Step 5: Solve for x
    x = 24,007,071.39/6,592.16
  6. Step 6: Final answer
    x = 3,641.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.