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Finding the Fourth Proportional to 6,616.38, 9,925.38 and 2,456.22

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Solution

The fourth proportional to 6,616.38, 9,925.38 and 2,456.22 is: 3,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.38 : 9,925.38 = 2,456.22 : x
  2. Step 2: Convert to fraction form
    6,616.38/9,925.38 = 2,456.22/x
  3. Step 3: Cross multiply
    6,616.38x = 9,925.38 × 2,456.22
  4. Step 4: Simplify right side
    6,616.38x = 24,378,916.86
  5. Step 5: Solve for x
    x = 24,378,916.86/6,616.38
  6. Step 6: Final answer
    x = 3,684.63

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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.