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Finding the Fourth Proportional to 8,491.46, 12,736.44 and 2,944.68

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Solution

The fourth proportional to 8,491.46, 12,736.44 and 2,944.68 is: 4,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.46 : 12,736.44 = 2,944.68 : x
  2. Step 2: Convert to fraction form
    8,491.46/12,736.44 = 2,944.68/x
  3. Step 3: Cross multiply
    8,491.46x = 12,736.44 × 2,944.68
  4. Step 4: Simplify right side
    8,491.46x = 37,504,725.42
  5. Step 5: Solve for x
    x = 37,504,725.42/8,491.46
  6. Step 6: Final answer
    x = 4,416.76

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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.