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Finding the Fourth Proportional to 9,229.60, 12,732.42 and 6,707.80

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Solution

The fourth proportional to 9,229.60, 12,732.42 and 6,707.80 is: 9,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.60 : 12,732.42 = 6,707.80 : x
  2. Step 2: Convert to fraction form
    9,229.60/12,732.42 = 6,707.80/x
  3. Step 3: Cross multiply
    9,229.60x = 12,732.42 × 6,707.80
  4. Step 4: Simplify right side
    9,229.60x = 85,406,526.88
  5. Step 5: Solve for x
    x = 85,406,526.88/9,229.60
  6. Step 6: Final answer
    x = 9,253.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.