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Finding the Fourth Proportional to 6,115.38, 9,169 and 2,219.28

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Solution

The fourth proportional to 6,115.38, 9,169 and 2,219.28 is: 3,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.38 : 9,169 = 2,219.28 : x
  2. Step 2: Convert to fraction form
    6,115.38/9,169 = 2,219.28/x
  3. Step 3: Cross multiply
    6,115.38x = 9,169 × 2,219.28
  4. Step 4: Simplify right side
    6,115.38x = 20,348,578.32
  5. Step 5: Solve for x
    x = 20,348,578.32/6,115.38
  6. Step 6: Final answer
    x = 3,327.44

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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.