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Finding the Fourth Proportional to 9,135.47, 13,691.96 and 7,278.95

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Solution

The fourth proportional to 9,135.47, 13,691.96 and 7,278.95 is: 10,909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.47 : 13,691.96 = 7,278.95 : x
  2. Step 2: Convert to fraction form
    9,135.47/13,691.96 = 7,278.95/x
  3. Step 3: Cross multiply
    9,135.47x = 13,691.96 × 7,278.95
  4. Step 4: Simplify right side
    9,135.47x = 99,663,023.78
  5. Step 5: Solve for x
    x = 99,663,023.78/9,135.47
  6. Step 6: Final answer
    x = 10,909.46

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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.