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Finding the Fourth Proportional to 6,745.59, 9,306.72 and 3,760.88

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Solution

The fourth proportional to 6,745.59, 9,306.72 and 3,760.88 is: 5,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.59 : 9,306.72 = 3,760.88 : x
  2. Step 2: Convert to fraction form
    6,745.59/9,306.72 = 3,760.88/x
  3. Step 3: Cross multiply
    6,745.59x = 9,306.72 × 3,760.88
  4. Step 4: Simplify right side
    6,745.59x = 35,001,410.58
  5. Step 5: Solve for x
    x = 35,001,410.58/6,745.59
  6. Step 6: Final answer
    x = 5,188.78

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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.