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Finding the Fourth Proportional to 9,154.91, 13,729.11 and 3,957.95

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Solution

The fourth proportional to 9,154.91, 13,729.11 and 3,957.95 is: 5,935.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.91 : 13,729.11 = 3,957.95 : x
  2. Step 2: Convert to fraction form
    9,154.91/13,729.11 = 3,957.95/x
  3. Step 3: Cross multiply
    9,154.91x = 13,729.11 × 3,957.95
  4. Step 4: Simplify right side
    9,154.91x = 54,339,062.28
  5. Step 5: Solve for x
    x = 54,339,062.28/9,154.91
  6. Step 6: Final answer
    x = 5,935.51

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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.