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Finding the Fourth Proportional to 9,178.32, 13,781.52 and 8,091.84

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Solution

The fourth proportional to 9,178.32, 13,781.52 and 8,091.84 is: 12,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.32 : 13,781.52 = 8,091.84 : x
  2. Step 2: Convert to fraction form
    9,178.32/13,781.52 = 8,091.84/x
  3. Step 3: Cross multiply
    9,178.32x = 13,781.52 × 8,091.84
  4. Step 4: Simplify right side
    9,178.32x = 111,517,854.80
  5. Step 5: Solve for x
    x = 111,517,854.80/9,178.32
  6. Step 6: Final answer
    x = 12,150.14

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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.