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Finding the Fourth Proportional to 6,742.31, 9,304.17 and 3,757.95

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Solution

The fourth proportional to 6,742.31, 9,304.17 and 3,757.95 is: 5,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.31 : 9,304.17 = 3,757.95 : x
  2. Step 2: Convert to fraction form
    6,742.31/9,304.17 = 3,757.95/x
  3. Step 3: Cross multiply
    6,742.31x = 9,304.17 × 3,757.95
  4. Step 4: Simplify right side
    6,742.31x = 34,964,605.65
  5. Step 5: Solve for x
    x = 34,964,605.65/6,742.31
  6. Step 6: Final answer
    x = 5,185.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.