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Finding the Fourth Proportional to 6,744.07, 9,306.82 and 3,759.85

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Solution

The fourth proportional to 6,744.07, 9,306.82 and 3,759.85 is: 5,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.07 : 9,306.82 = 3,759.85 : x
  2. Step 2: Convert to fraction form
    6,744.07/9,306.82 = 3,759.85/x
  3. Step 3: Cross multiply
    6,744.07x = 9,306.82 × 3,759.85
  4. Step 4: Simplify right side
    6,744.07x = 34,992,221.73
  5. Step 5: Solve for x
    x = 34,992,221.73/6,744.07
  6. Step 6: Final answer
    x = 5,188.59

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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.