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Finding the Fourth Proportional to 6,375.02, 9,542.05 and 3,406.03

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Solution

The fourth proportional to 6,375.02, 9,542.05 and 3,406.03 is: 5,098.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.02 : 9,542.05 = 3,406.03 : x
  2. Step 2: Convert to fraction form
    6,375.02/9,542.05 = 3,406.03/x
  3. Step 3: Cross multiply
    6,375.02x = 9,542.05 × 3,406.03
  4. Step 4: Simplify right side
    6,375.02x = 32,500,549.02
  5. Step 5: Solve for x
    x = 32,500,549.02/6,375.02
  6. Step 6: Final answer
    x = 5,098.11

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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.