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Finding the Fourth Proportional to 6,449.38, 9,673.52 and 4,567.49

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Solution

The fourth proportional to 6,449.38, 9,673.52 and 4,567.49 is: 6,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.38 : 9,673.52 = 4,567.49 : x
  2. Step 2: Convert to fraction form
    6,449.38/9,673.52 = 4,567.49/x
  3. Step 3: Cross multiply
    6,449.38x = 9,673.52 × 4,567.49
  4. Step 4: Simplify right side
    6,449.38x = 44,183,705.86
  5. Step 5: Solve for x
    x = 44,183,705.86/6,449.38
  6. Step 6: Final answer
    x = 6,850.85

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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.