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Finding the Fourth Proportional to 6,441.01, 9,663.44 and 2,694.60

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Solution

The fourth proportional to 6,441.01, 9,663.44 and 2,694.60 is: 4,042.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.01 : 9,663.44 = 2,694.60 : x
  2. Step 2: Convert to fraction form
    6,441.01/9,663.44 = 2,694.60/x
  3. Step 3: Cross multiply
    6,441.01x = 9,663.44 × 2,694.60
  4. Step 4: Simplify right side
    6,441.01x = 26,039,105.42
  5. Step 5: Solve for x
    x = 26,039,105.42/6,441.01
  6. Step 6: Final answer
    x = 4,042.71

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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.