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Finding the Fourth Proportional to 9,432.40, 14,148.60 and 8,957.20

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Solution

The fourth proportional to 9,432.40, 14,148.60 and 8,957.20 is: 13,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.40 : 14,148.60 = 8,957.20 : x
  2. Step 2: Convert to fraction form
    9,432.40/14,148.60 = 8,957.20/x
  3. Step 3: Cross multiply
    9,432.40x = 14,148.60 × 8,957.20
  4. Step 4: Simplify right side
    9,432.40x = 126,731,839.92
  5. Step 5: Solve for x
    x = 126,731,839.92/9,432.40
  6. Step 6: Final answer
    x = 13,435.80

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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.