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Finding the Fourth Proportional to 9,944.20, 14,916.02 and 2,447.82

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Solution

The fourth proportional to 9,944.20, 14,916.02 and 2,447.82 is: 3,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.20 : 14,916.02 = 2,447.82 : x
  2. Step 2: Convert to fraction form
    9,944.20/14,916.02 = 2,447.82/x
  3. Step 3: Cross multiply
    9,944.20x = 14,916.02 × 2,447.82
  4. Step 4: Simplify right side
    9,944.20x = 36,511,732.08
  5. Step 5: Solve for x
    x = 36,511,732.08/9,944.20
  6. Step 6: Final answer
    x = 3,671.66

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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.