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Finding the Fourth Proportional to 6,491.16, 9,736.60 and 2,108.62

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Solution

The fourth proportional to 6,491.16, 9,736.60 and 2,108.62 is: 3,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.16 : 9,736.60 = 2,108.62 : x
  2. Step 2: Convert to fraction form
    6,491.16/9,736.60 = 2,108.62/x
  3. Step 3: Cross multiply
    6,491.16x = 9,736.60 × 2,108.62
  4. Step 4: Simplify right side
    6,491.16x = 20,530,789.49
  5. Step 5: Solve for x
    x = 20,530,789.49/6,491.16
  6. Step 6: Final answer
    x = 3,162.88

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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.