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Finding the Fourth Proportional to 6,743.42, 9,306.15 and 3,759.14

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Solution

The fourth proportional to 6,743.42, 9,306.15 and 3,759.14 is: 5,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.42 : 9,306.15 = 3,759.14 : x
  2. Step 2: Convert to fraction form
    6,743.42/9,306.15 = 3,759.14/x
  3. Step 3: Cross multiply
    6,743.42x = 9,306.15 × 3,759.14
  4. Step 4: Simplify right side
    6,743.42x = 34,983,120.71
  5. Step 5: Solve for x
    x = 34,983,120.71/6,743.42
  6. Step 6: Final answer
    x = 5,187.74

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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.