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Finding the Fourth Proportional to 9,487.22, 14,229.50 and 5,966.50

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Solution

The fourth proportional to 9,487.22, 14,229.50 and 5,966.50 is: 8,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.22 : 14,229.50 = 5,966.50 : x
  2. Step 2: Convert to fraction form
    9,487.22/14,229.50 = 5,966.50/x
  3. Step 3: Cross multiply
    9,487.22x = 14,229.50 × 5,966.50
  4. Step 4: Simplify right side
    9,487.22x = 84,900,311.75
  5. Step 5: Solve for x
    x = 84,900,311.75/9,487.22
  6. Step 6: Final answer
    x = 8,948.91

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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.