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Finding the Fourth Proportional to 6,616.29, 9,912.96 and 4,013.76

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Solution

The fourth proportional to 6,616.29, 9,912.96 and 4,013.76 is: 6,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.29 : 9,912.96 = 4,013.76 : x
  2. Step 2: Convert to fraction form
    6,616.29/9,912.96 = 4,013.76/x
  3. Step 3: Cross multiply
    6,616.29x = 9,912.96 × 4,013.76
  4. Step 4: Simplify right side
    6,616.29x = 39,788,242.33
  5. Step 5: Solve for x
    x = 39,788,242.33/6,616.29
  6. Step 6: Final answer
    x = 6,013.68

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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.