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Finding the Fourth Proportional to 8,974.44, 12,367.26 and 6,738.84

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Solution

The fourth proportional to 8,974.44, 12,367.26 and 6,738.84 is: 9,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.44 : 12,367.26 = 6,738.84 : x
  2. Step 2: Convert to fraction form
    8,974.44/12,367.26 = 6,738.84/x
  3. Step 3: Cross multiply
    8,974.44x = 12,367.26 × 6,738.84
  4. Step 4: Simplify right side
    8,974.44x = 83,340,986.38
  5. Step 5: Solve for x
    x = 83,340,986.38/8,974.44
  6. Step 6: Final answer
    x = 9,286.48

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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.