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Finding the Fourth Proportional to 6,449.40, 9,668.34 and 2,551.14

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Solution

The fourth proportional to 6,449.40, 9,668.34 and 2,551.14 is: 3,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.40 : 9,668.34 = 2,551.14 : x
  2. Step 2: Convert to fraction form
    6,449.40/9,668.34 = 2,551.14/x
  3. Step 3: Cross multiply
    6,449.40x = 9,668.34 × 2,551.14
  4. Step 4: Simplify right side
    6,449.40x = 24,665,288.91
  5. Step 5: Solve for x
    x = 24,665,288.91/6,449.40
  6. Step 6: Final answer
    x = 3,824.43

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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.