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Finding the Fourth Proportional to 6,375.33, 9,542.52 and 3,406.35

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Solution

The fourth proportional to 6,375.33, 9,542.52 and 3,406.35 is: 5,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.33 : 9,542.52 = 3,406.35 : x
  2. Step 2: Convert to fraction form
    6,375.33/9,542.52 = 3,406.35/x
  3. Step 3: Cross multiply
    6,375.33x = 9,542.52 × 3,406.35
  4. Step 4: Simplify right side
    6,375.33x = 32,505,163.00
  5. Step 5: Solve for x
    x = 32,505,163.00/6,375.33
  6. Step 6: Final answer
    x = 5,098.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.