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Finding the Fourth Proportional to 6,729.17, 9,286.11 and 3,744.82

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Solution

The fourth proportional to 6,729.17, 9,286.11 and 3,744.82 is: 5,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.17 : 9,286.11 = 3,744.82 : x
  2. Step 2: Convert to fraction form
    6,729.17/9,286.11 = 3,744.82/x
  3. Step 3: Cross multiply
    6,729.17x = 9,286.11 × 3,744.82
  4. Step 4: Simplify right side
    6,729.17x = 34,774,791.73
  5. Step 5: Solve for x
    x = 34,774,791.73/6,729.17
  6. Step 6: Final answer
    x = 5,167.77

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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.