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Finding the Fourth Proportional to 6,616.44, 9,869.12 and 6,079.14

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Solution

The fourth proportional to 6,616.44, 9,869.12 and 6,079.14 is: 9,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.44 : 9,869.12 = 6,079.14 : x
  2. Step 2: Convert to fraction form
    6,616.44/9,869.12 = 6,079.14/x
  3. Step 3: Cross multiply
    6,616.44x = 9,869.12 × 6,079.14
  4. Step 4: Simplify right side
    6,616.44x = 59,995,731.76
  5. Step 5: Solve for x
    x = 59,995,731.76/6,616.44
  6. Step 6: Final answer
    x = 9,067.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.