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Finding the Fourth Proportional to 6,743.85, 9,305.87 and 3,759.62

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Solution

The fourth proportional to 6,743.85, 9,305.87 and 3,759.62 is: 5,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.85 : 9,305.87 = 3,759.62 : x
  2. Step 2: Convert to fraction form
    6,743.85/9,305.87 = 3,759.62/x
  3. Step 3: Cross multiply
    6,743.85x = 9,305.87 × 3,759.62
  4. Step 4: Simplify right side
    6,743.85x = 34,986,469.64
  5. Step 5: Solve for x
    x = 34,986,469.64/6,743.85
  6. Step 6: Final answer
    x = 5,187.91

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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.