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Finding the Fourth Proportional to 6,449.23, 9,695.71 and 5,149.58

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Solution

The fourth proportional to 6,449.23, 9,695.71 and 5,149.58 is: 7,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.23 : 9,695.71 = 5,149.58 : x
  2. Step 2: Convert to fraction form
    6,449.23/9,695.71 = 5,149.58/x
  3. Step 3: Cross multiply
    6,449.23x = 9,695.71 × 5,149.58
  4. Step 4: Simplify right side
    6,449.23x = 49,928,834.30
  5. Step 5: Solve for x
    x = 49,928,834.30/6,449.23
  6. Step 6: Final answer
    x = 7,741.83

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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.