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Finding the Fourth Proportional to 6,468.12, 9,711.16 and 3,350.43

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Solution

The fourth proportional to 6,468.12, 9,711.16 and 3,350.43 is: 5,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.12 : 9,711.16 = 3,350.43 : x
  2. Step 2: Convert to fraction form
    6,468.12/9,711.16 = 3,350.43/x
  3. Step 3: Cross multiply
    6,468.12x = 9,711.16 × 3,350.43
  4. Step 4: Simplify right side
    6,468.12x = 32,536,553.42
  5. Step 5: Solve for x
    x = 32,536,553.42/6,468.12
  6. Step 6: Final answer
    x = 5,030.30

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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.