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Finding the Fourth Proportional to 6,451.26, 9,668.79 and 2,287.86

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Solution

The fourth proportional to 6,451.26, 9,668.79 and 2,287.86 is: 3,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.26 : 9,668.79 = 2,287.86 : x
  2. Step 2: Convert to fraction form
    6,451.26/9,668.79 = 2,287.86/x
  3. Step 3: Cross multiply
    6,451.26x = 9,668.79 × 2,287.86
  4. Step 4: Simplify right side
    6,451.26x = 22,120,837.89
  5. Step 5: Solve for x
    x = 22,120,837.89/6,451.26
  6. Step 6: Final answer
    x = 3,428.92

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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.