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Finding the Fourth Proportional to 8,974.14, 13,463.46 and 5,279.46

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Solution

The fourth proportional to 8,974.14, 13,463.46 and 5,279.46 is: 7,920.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.14 : 13,463.46 = 5,279.46 : x
  2. Step 2: Convert to fraction form
    8,974.14/13,463.46 = 5,279.46/x
  3. Step 3: Cross multiply
    8,974.14x = 13,463.46 × 5,279.46
  4. Step 4: Simplify right side
    8,974.14x = 71,079,798.53
  5. Step 5: Solve for x
    x = 71,079,798.53/8,974.14
  6. Step 6: Final answer
    x = 7,920.51

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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.