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Finding the Fourth Proportional to 8,648.44, 12,961.38 and 3,966.76

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Solution

The fourth proportional to 8,648.44, 12,961.38 and 3,966.76 is: 5,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.44 : 12,961.38 = 3,966.76 : x
  2. Step 2: Convert to fraction form
    8,648.44/12,961.38 = 3,966.76/x
  3. Step 3: Cross multiply
    8,648.44x = 12,961.38 × 3,966.76
  4. Step 4: Simplify right side
    8,648.44x = 51,414,683.73
  5. Step 5: Solve for x
    x = 51,414,683.73/8,648.44
  6. Step 6: Final answer
    x = 5,944.97

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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.