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Finding the Fourth Proportional to 6,249.68, 9,354.09 and 3,434.21

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Solution

The fourth proportional to 6,249.68, 9,354.09 and 3,434.21 is: 5,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.68 : 9,354.09 = 3,434.21 : x
  2. Step 2: Convert to fraction form
    6,249.68/9,354.09 = 3,434.21/x
  3. Step 3: Cross multiply
    6,249.68x = 9,354.09 × 3,434.21
  4. Step 4: Simplify right side
    6,249.68x = 32,123,909.42
  5. Step 5: Solve for x
    x = 32,123,909.42/6,249.68
  6. Step 6: Final answer
    x = 5,140.09

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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.