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Finding the Fourth Proportional to 6,743.35, 9,305.79 and 3,759.21

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Solution

The fourth proportional to 6,743.35, 9,305.79 and 3,759.21 is: 5,187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.35 : 9,305.79 = 3,759.21 : x
  2. Step 2: Convert to fraction form
    6,743.35/9,305.79 = 3,759.21/x
  3. Step 3: Cross multiply
    6,743.35x = 9,305.79 × 3,759.21
  4. Step 4: Simplify right side
    6,743.35x = 34,982,404.73
  5. Step 5: Solve for x
    x = 34,982,404.73/6,743.35
  6. Step 6: Final answer
    x = 5,187.69

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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.