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Finding the Fourth Proportional to 6,450.86, 9,663.32 and 3,366.38

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Solution

The fourth proportional to 6,450.86, 9,663.32 and 3,366.38 is: 5,042.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.86 : 9,663.32 = 3,366.38 : x
  2. Step 2: Convert to fraction form
    6,450.86/9,663.32 = 3,366.38/x
  3. Step 3: Cross multiply
    6,450.86x = 9,663.32 × 3,366.38
  4. Step 4: Simplify right side
    6,450.86x = 32,530,407.18
  5. Step 5: Solve for x
    x = 32,530,407.18/6,450.86
  6. Step 6: Final answer
    x = 5,042.80

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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.