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Finding the Fourth Proportional to 9,801.53, 14,721.20 and 8,399.12

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Solution

The fourth proportional to 9,801.53, 14,721.20 and 8,399.12 is: 12,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.53 : 14,721.20 = 8,399.12 : x
  2. Step 2: Convert to fraction form
    9,801.53/14,721.20 = 8,399.12/x
  3. Step 3: Cross multiply
    9,801.53x = 14,721.20 × 8,399.12
  4. Step 4: Simplify right side
    9,801.53x = 123,645,083.35
  5. Step 5: Solve for x
    x = 123,645,083.35/9,801.53
  6. Step 6: Final answer
    x = 12,614.88

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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.