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Finding the Fourth Proportional to 9,500.92, 14,257.50 and 5,121.43

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Solution

The fourth proportional to 9,500.92, 14,257.50 and 5,121.43 is: 7,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.92 : 14,257.50 = 5,121.43 : x
  2. Step 2: Convert to fraction form
    9,500.92/14,257.50 = 5,121.43/x
  3. Step 3: Cross multiply
    9,500.92x = 14,257.50 × 5,121.43
  4. Step 4: Simplify right side
    9,500.92x = 73,018,733.38
  5. Step 5: Solve for x
    x = 73,018,733.38/9,500.92
  6. Step 6: Final answer
    x = 7,685.44

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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.