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Finding the Fourth Proportional to 9,691.52, 14,542.80 and 8,067.76

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Solution

The fourth proportional to 9,691.52, 14,542.80 and 8,067.76 is: 12,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.52 : 14,542.80 = 8,067.76 : x
  2. Step 2: Convert to fraction form
    9,691.52/14,542.80 = 8,067.76/x
  3. Step 3: Cross multiply
    9,691.52x = 14,542.80 × 8,067.76
  4. Step 4: Simplify right side
    9,691.52x = 117,327,820.13
  5. Step 5: Solve for x
    x = 117,327,820.13/9,691.52
  6. Step 6: Final answer
    x = 12,106.24

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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.