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Finding the Fourth Proportional to 6,449.97, 9,675.47 and 2,752.23

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Solution

The fourth proportional to 6,449.97, 9,675.47 and 2,752.23 is: 4,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.97 : 9,675.47 = 2,752.23 : x
  2. Step 2: Convert to fraction form
    6,449.97/9,675.47 = 2,752.23/x
  3. Step 3: Cross multiply
    6,449.97x = 9,675.47 × 2,752.23
  4. Step 4: Simplify right side
    6,449.97x = 26,629,118.80
  5. Step 5: Solve for x
    x = 26,629,118.80/6,449.97
  6. Step 6: Final answer
    x = 4,128.56

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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.