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Finding the Fourth Proportional to 9,016.38, 12,447.27 and 6,217.02

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Solution

The fourth proportional to 9,016.38, 12,447.27 and 6,217.02 is: 8,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016.38 : 12,447.27 = 6,217.02 : x
  2. Step 2: Convert to fraction form
    9,016.38/12,447.27 = 6,217.02/x
  3. Step 3: Cross multiply
    9,016.38x = 12,447.27 × 6,217.02
  4. Step 4: Simplify right side
    9,016.38x = 77,384,926.54
  5. Step 5: Solve for x
    x = 77,384,926.54/9,016.38
  6. Step 6: Final answer
    x = 8,582.70

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Why These Related Problems?

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