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Finding the Fourth Proportional to 6,743.20, 9,305.65 and 3,759.22

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Solution

The fourth proportional to 6,743.20, 9,305.65 and 3,759.22 is: 5,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.20 : 9,305.65 = 3,759.22 : x
  2. Step 2: Convert to fraction form
    6,743.20/9,305.65 = 3,759.22/x
  3. Step 3: Cross multiply
    6,743.20x = 9,305.65 × 3,759.22
  4. Step 4: Simplify right side
    6,743.20x = 34,982,008.97
  5. Step 5: Solve for x
    x = 34,982,008.97/6,743.20
  6. Step 6: Final answer
    x = 5,187.75

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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.