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Finding the Fourth Proportional to 6,617.07, 9,906.42 and 5,151.78

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Solution

The fourth proportional to 6,617.07, 9,906.42 and 5,151.78 is: 7,712.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.07 : 9,906.42 = 5,151.78 : x
  2. Step 2: Convert to fraction form
    6,617.07/9,906.42 = 5,151.78/x
  3. Step 3: Cross multiply
    6,617.07x = 9,906.42 × 5,151.78
  4. Step 4: Simplify right side
    6,617.07x = 51,035,696.43
  5. Step 5: Solve for x
    x = 51,035,696.43/6,617.07
  6. Step 6: Final answer
    x = 7,712.73

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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.