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Finding the Fourth Proportional to 9,147.95, 13,732.84 and 5,451.92

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Solution

The fourth proportional to 9,147.95, 13,732.84 and 5,451.92 is: 8,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.95 : 13,732.84 = 5,451.92 : x
  2. Step 2: Convert to fraction form
    9,147.95/13,732.84 = 5,451.92/x
  3. Step 3: Cross multiply
    9,147.95x = 13,732.84 × 5,451.92
  4. Step 4: Simplify right side
    9,147.95x = 74,870,304.03
  5. Step 5: Solve for x
    x = 74,870,304.03/9,147.95
  6. Step 6: Final answer
    x = 8,184.38

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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.