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Finding the Fourth Proportional to 9,487.70, 14,231.55 and 2,562.20

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Solution

The fourth proportional to 9,487.70, 14,231.55 and 2,562.20 is: 3,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.70 : 14,231.55 = 2,562.20 : x
  2. Step 2: Convert to fraction form
    9,487.70/14,231.55 = 2,562.20/x
  3. Step 3: Cross multiply
    9,487.70x = 14,231.55 × 2,562.20
  4. Step 4: Simplify right side
    9,487.70x = 36,464,006.25
  5. Step 5: Solve for x
    x = 36,464,006.25/9,487.70
  6. Step 6: Final answer
    x = 3,843.29

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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.