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Finding the Fourth Proportional to 6,443.29, 9,668.18 and 2,550.97

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Solution

The fourth proportional to 6,443.29, 9,668.18 and 2,550.97 is: 3,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.29 : 9,668.18 = 2,550.97 : x
  2. Step 2: Convert to fraction form
    6,443.29/9,668.18 = 2,550.97/x
  3. Step 3: Cross multiply
    6,443.29x = 9,668.18 × 2,550.97
  4. Step 4: Simplify right side
    6,443.29x = 24,663,237.13
  5. Step 5: Solve for x
    x = 24,663,237.13/6,443.29
  6. Step 6: Final answer
    x = 3,827.74

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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.