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Finding the Fourth Proportional to 6,517.78, 8,994.68 and 3,864.22

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Solution

The fourth proportional to 6,517.78, 8,994.68 and 3,864.22 is: 5,332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.78 : 8,994.68 = 3,864.22 : x
  2. Step 2: Convert to fraction form
    6,517.78/8,994.68 = 3,864.22/x
  3. Step 3: Cross multiply
    6,517.78x = 8,994.68 × 3,864.22
  4. Step 4: Simplify right side
    6,517.78x = 34,757,395.03
  5. Step 5: Solve for x
    x = 34,757,395.03/6,517.78
  6. Step 6: Final answer
    x = 5,332.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.