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Finding the Fourth Proportional to 10,472.90, 15,665.40 and 9,685.58

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Solution

The fourth proportional to 10,472.90, 15,665.40 and 9,685.58 is: 14,487.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.90 : 15,665.40 = 9,685.58 : x
  2. Step 2: Convert to fraction form
    10,472.90/15,665.40 = 9,685.58/x
  3. Step 3: Cross multiply
    10,472.90x = 15,665.40 × 9,685.58
  4. Step 4: Simplify right side
    10,472.90x = 151,728,406.61
  5. Step 5: Solve for x
    x = 151,728,406.61/10,472.90
  6. Step 6: Final answer
    x = 14,487.72

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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.