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Finding the Fourth Proportional to 9,897.52, 14,850.12 and 3,742

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Solution

The fourth proportional to 9,897.52, 14,850.12 and 3,742 is: 5,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.52 : 14,850.12 = 3,742 : x
  2. Step 2: Convert to fraction form
    9,897.52/14,850.12 = 3,742/x
  3. Step 3: Cross multiply
    9,897.52x = 14,850.12 × 3,742
  4. Step 4: Simplify right side
    9,897.52x = 55,569,149.04
  5. Step 5: Solve for x
    x = 55,569,149.04/9,897.52
  6. Step 6: Final answer
    x = 5,614.45

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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.