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Finding the Fourth Proportional to 6,745.72, 9,309.26 and 3,761.52

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Solution

The fourth proportional to 6,745.72, 9,309.26 and 3,761.52 is: 5,190.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.72 : 9,309.26 = 3,761.52 : x
  2. Step 2: Convert to fraction form
    6,745.72/9,309.26 = 3,761.52/x
  3. Step 3: Cross multiply
    6,745.72x = 9,309.26 × 3,761.52
  4. Step 4: Simplify right side
    6,745.72x = 35,016,972.14
  5. Step 5: Solve for x
    x = 35,016,972.14/6,745.72
  6. Step 6: Final answer
    x = 5,190.99

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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.