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Finding the Fourth Proportional to 9,517.52, 14,245.23 and 8,608.16

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Solution

The fourth proportional to 9,517.52, 14,245.23 and 8,608.16 is: 12,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.52 : 14,245.23 = 8,608.16 : x
  2. Step 2: Convert to fraction form
    9,517.52/14,245.23 = 8,608.16/x
  3. Step 3: Cross multiply
    9,517.52x = 14,245.23 × 8,608.16
  4. Step 4: Simplify right side
    9,517.52x = 122,625,286.97
  5. Step 5: Solve for x
    x = 122,625,286.97/9,517.52
  6. Step 6: Final answer
    x = 12,884.16

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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.