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Finding the Fourth Proportional to 9,500.53, 14,253.67 and 6,732.55

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Solution

The fourth proportional to 9,500.53, 14,253.67 and 6,732.55 is: 10,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.53 : 14,253.67 = 6,732.55 : x
  2. Step 2: Convert to fraction form
    9,500.53/14,253.67 = 6,732.55/x
  3. Step 3: Cross multiply
    9,500.53x = 14,253.67 × 6,732.55
  4. Step 4: Simplify right side
    9,500.53x = 95,963,545.96
  5. Step 5: Solve for x
    x = 95,963,545.96/9,500.53
  6. Step 6: Final answer
    x = 10,100.87

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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.