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Finding the Fourth Proportional to 6,729.72, 9,287.28 and 3,745.44

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Solution

The fourth proportional to 6,729.72, 9,287.28 and 3,745.44 is: 5,168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.72 : 9,287.28 = 3,745.44 : x
  2. Step 2: Convert to fraction form
    6,729.72/9,287.28 = 3,745.44/x
  3. Step 3: Cross multiply
    6,729.72x = 9,287.28 × 3,745.44
  4. Step 4: Simplify right side
    6,729.72x = 34,784,950.00
  5. Step 5: Solve for x
    x = 34,784,950.00/6,729.72
  6. Step 6: Final answer
    x = 5,168.86

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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.