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Finding the Fourth Proportional to 6,743.52, 9,305.82 and 3,759.48

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Solution

The fourth proportional to 6,743.52, 9,305.82 and 3,759.48 is: 5,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.52 : 9,305.82 = 3,759.48 : x
  2. Step 2: Convert to fraction form
    6,743.52/9,305.82 = 3,759.48/x
  3. Step 3: Cross multiply
    6,743.52x = 9,305.82 × 3,759.48
  4. Step 4: Simplify right side
    6,743.52x = 34,985,044.17
  5. Step 5: Solve for x
    x = 34,985,044.17/6,743.52
  6. Step 6: Final answer
    x = 5,187.95

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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.