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Finding the Fourth Proportional to 6,446.27, 9,668.07 and 2,286.42

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Solution

The fourth proportional to 6,446.27, 9,668.07 and 2,286.42 is: 3,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.27 : 9,668.07 = 2,286.42 : x
  2. Step 2: Convert to fraction form
    6,446.27/9,668.07 = 2,286.42/x
  3. Step 3: Cross multiply
    6,446.27x = 9,668.07 × 2,286.42
  4. Step 4: Simplify right side
    6,446.27x = 22,105,268.61
  5. Step 5: Solve for x
    x = 22,105,268.61/6,446.27
  6. Step 6: Final answer
    x = 3,429.16

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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.