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Finding the Fourth Proportional to 9,487.92, 14,231.85 and 2,562.42

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Solution

The fourth proportional to 9,487.92, 14,231.85 and 2,562.42 is: 3,843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.92 : 14,231.85 = 2,562.42 : x
  2. Step 2: Convert to fraction form
    9,487.92/14,231.85 = 2,562.42/x
  3. Step 3: Cross multiply
    9,487.92x = 14,231.85 × 2,562.42
  4. Step 4: Simplify right side
    9,487.92x = 36,467,977.08
  5. Step 5: Solve for x
    x = 36,467,977.08/9,487.92
  6. Step 6: Final answer
    x = 3,843.62

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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.