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Finding the Fourth Proportional to 6,324.10, 9,489.03 and 2,629.06

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Solution

The fourth proportional to 6,324.10, 9,489.03 and 2,629.06 is: 3,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.10 : 9,489.03 = 2,629.06 : x
  2. Step 2: Convert to fraction form
    6,324.10/9,489.03 = 2,629.06/x
  3. Step 3: Cross multiply
    6,324.10x = 9,489.03 × 2,629.06
  4. Step 4: Simplify right side
    6,324.10x = 24,947,229.21
  5. Step 5: Solve for x
    x = 24,947,229.21/6,324.10
  6. Step 6: Final answer
    x = 3,944.79

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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.