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Finding the Fourth Proportional to 9,468.66, 14,191.92 and 8,375.16

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Solution

The fourth proportional to 9,468.66, 14,191.92 and 8,375.16 is: 12,552.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.66 : 14,191.92 = 8,375.16 : x
  2. Step 2: Convert to fraction form
    9,468.66/14,191.92 = 8,375.16/x
  3. Step 3: Cross multiply
    9,468.66x = 14,191.92 × 8,375.16
  4. Step 4: Simplify right side
    9,468.66x = 118,859,600.71
  5. Step 5: Solve for x
    x = 118,859,600.71/9,468.66
  6. Step 6: Final answer
    x = 12,552.95

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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.