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Finding the Fourth Proportional to 6,327.88, 9,491.82 and 1,944.76

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Solution

The fourth proportional to 6,327.88, 9,491.82 and 1,944.76 is: 2,917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.88 : 9,491.82 = 1,944.76 : x
  2. Step 2: Convert to fraction form
    6,327.88/9,491.82 = 1,944.76/x
  3. Step 3: Cross multiply
    6,327.88x = 9,491.82 × 1,944.76
  4. Step 4: Simplify right side
    6,327.88x = 18,459,311.86
  5. Step 5: Solve for x
    x = 18,459,311.86/6,327.88
  6. Step 6: Final answer
    x = 2,917.14

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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.