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Finding the Fourth Proportional to 6,744.13, 9,306.56 and 3,759.39

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Solution

The fourth proportional to 6,744.13, 9,306.56 and 3,759.39 is: 5,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.13 : 9,306.56 = 3,759.39 : x
  2. Step 2: Convert to fraction form
    6,744.13/9,306.56 = 3,759.39/x
  3. Step 3: Cross multiply
    6,744.13x = 9,306.56 × 3,759.39
  4. Step 4: Simplify right side
    6,744.13x = 34,986,955.96
  5. Step 5: Solve for x
    x = 34,986,955.96/6,744.13
  6. Step 6: Final answer
    x = 5,187.76

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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.