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Finding the Fourth Proportional to 6,463.89, 9,696.82 and 3,299.60

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Solution

The fourth proportional to 6,463.89, 9,696.82 and 3,299.60 is: 4,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.89 : 9,696.82 = 3,299.60 : x
  2. Step 2: Convert to fraction form
    6,463.89/9,696.82 = 3,299.60/x
  3. Step 3: Cross multiply
    6,463.89x = 9,696.82 × 3,299.60
  4. Step 4: Simplify right side
    6,463.89x = 31,995,627.27
  5. Step 5: Solve for x
    x = 31,995,627.27/6,463.89
  6. Step 6: Final answer
    x = 4,949.90

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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.