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Finding the Fourth Proportional to 6,729.72, 9,286.89 and 3,745.53

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Solution

The fourth proportional to 6,729.72, 9,286.89 and 3,745.53 is: 5,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.72 : 9,286.89 = 3,745.53 : x
  2. Step 2: Convert to fraction form
    6,729.72/9,286.89 = 3,745.53/x
  3. Step 3: Cross multiply
    6,729.72x = 9,286.89 × 3,745.53
  4. Step 4: Simplify right side
    6,729.72x = 34,784,325.10
  5. Step 5: Solve for x
    x = 34,784,325.10/6,729.72
  6. Step 6: Final answer
    x = 5,168.76

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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.