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Finding the Fourth Proportional to 6,324.17, 9,489.29 and 3,402.09

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Solution

The fourth proportional to 6,324.17, 9,489.29 and 3,402.09 is: 5,104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.17 : 9,489.29 = 3,402.09 : x
  2. Step 2: Convert to fraction form
    6,324.17/9,489.29 = 3,402.09/x
  3. Step 3: Cross multiply
    6,324.17x = 9,489.29 × 3,402.09
  4. Step 4: Simplify right side
    6,324.17x = 32,283,401.61
  5. Step 5: Solve for x
    x = 32,283,401.61/6,324.17
  6. Step 6: Final answer
    x = 5,104.77

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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.