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Finding the Fourth Proportional to 6,550.49, 9,039.97 and 3,861.82

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Solution

The fourth proportional to 6,550.49, 9,039.97 and 3,861.82 is: 5,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.49 : 9,039.97 = 3,861.82 : x
  2. Step 2: Convert to fraction form
    6,550.49/9,039.97 = 3,861.82/x
  3. Step 3: Cross multiply
    6,550.49x = 9,039.97 × 3,861.82
  4. Step 4: Simplify right side
    6,550.49x = 34,910,736.95
  5. Step 5: Solve for x
    x = 34,910,736.95/6,550.49
  6. Step 6: Final answer
    x = 5,329.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.