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Finding the Fourth Proportional to 6,743.51, 9,306.26 and 3,759.27

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Solution

The fourth proportional to 6,743.51, 9,306.26 and 3,759.27 is: 5,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.51 : 9,306.26 = 3,759.27 : x
  2. Step 2: Convert to fraction form
    6,743.51/9,306.26 = 3,759.27/x
  3. Step 3: Cross multiply
    6,743.51x = 9,306.26 × 3,759.27
  4. Step 4: Simplify right side
    6,743.51x = 34,984,704.43
  5. Step 5: Solve for x
    x = 34,984,704.43/6,743.51
  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.