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Finding the Fourth Proportional to 9,204.56, 13,806.68 and 2,279.04

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Solution

The fourth proportional to 9,204.56, 13,806.68 and 2,279.04 is: 3,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.56 : 13,806.68 = 2,279.04 : x
  2. Step 2: Convert to fraction form
    9,204.56/13,806.68 = 2,279.04/x
  3. Step 3: Cross multiply
    9,204.56x = 13,806.68 × 2,279.04
  4. Step 4: Simplify right side
    9,204.56x = 31,465,975.99
  5. Step 5: Solve for x
    x = 31,465,975.99/9,204.56
  6. Step 6: Final answer
    x = 3,418.52

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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.