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Finding the Fourth Proportional to 6,446.68, 9,668.25 and 2,286.13

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Solution

The fourth proportional to 6,446.68, 9,668.25 and 2,286.13 is: 3,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.68 : 9,668.25 = 2,286.13 : x
  2. Step 2: Convert to fraction form
    6,446.68/9,668.25 = 2,286.13/x
  3. Step 3: Cross multiply
    6,446.68x = 9,668.25 × 2,286.13
  4. Step 4: Simplify right side
    6,446.68x = 22,102,876.37
  5. Step 5: Solve for x
    x = 22,102,876.37/6,446.68
  6. Step 6: Final answer
    x = 3,428.57

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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.