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Finding the Fourth Proportional to 9,166.28, 12,649.38 and 4,974.44

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Solution

The fourth proportional to 9,166.28, 12,649.38 and 4,974.44 is: 6,864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.28 : 12,649.38 = 4,974.44 : x
  2. Step 2: Convert to fraction form
    9,166.28/12,649.38 = 4,974.44/x
  3. Step 3: Cross multiply
    9,166.28x = 12,649.38 × 4,974.44
  4. Step 4: Simplify right side
    9,166.28x = 62,923,581.85
  5. Step 5: Solve for x
    x = 62,923,581.85/9,166.28
  6. Step 6: Final answer
    x = 6,864.68

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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.