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Finding the Fourth Proportional to 6,375.02, 9,542.06 and 3,406.04

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Solution

The fourth proportional to 6,375.02, 9,542.06 and 3,406.04 is: 5,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.02 : 9,542.06 = 3,406.04 : x
  2. Step 2: Convert to fraction form
    6,375.02/9,542.06 = 3,406.04/x
  3. Step 3: Cross multiply
    6,375.02x = 9,542.06 × 3,406.04
  4. Step 4: Simplify right side
    6,375.02x = 32,500,621.86
  5. Step 5: Solve for x
    x = 32,500,621.86/6,375.02
  6. Step 6: Final answer
    x = 5,098.12

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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.