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Finding the Fourth Proportional to 9,279.84, 13,922.16 and 3,733.38

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Solution

The fourth proportional to 9,279.84, 13,922.16 and 3,733.38 is: 5,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.84 : 13,922.16 = 3,733.38 : x
  2. Step 2: Convert to fraction form
    9,279.84/13,922.16 = 3,733.38/x
  3. Step 3: Cross multiply
    9,279.84x = 13,922.16 × 3,733.38
  4. Step 4: Simplify right side
    9,279.84x = 51,976,713.70
  5. Step 5: Solve for x
    x = 51,976,713.70/9,279.84
  6. Step 6: Final answer
    x = 5,601.04

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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.