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Finding the Fourth Proportional to 6,115.97, 9,165.74 and 3,338.48

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Solution

The fourth proportional to 6,115.97, 9,165.74 and 3,338.48 is: 5,003.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.97 : 9,165.74 = 3,338.48 : x
  2. Step 2: Convert to fraction form
    6,115.97/9,165.74 = 3,338.48/x
  3. Step 3: Cross multiply
    6,115.97x = 9,165.74 × 3,338.48
  4. Step 4: Simplify right side
    6,115.97x = 30,599,577.15
  5. Step 5: Solve for x
    x = 30,599,577.15/6,115.97
  6. Step 6: Final answer
    x = 5,003.23

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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.