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Finding the Fourth Proportional to 9,944.32, 14,912.82 and 5,785.39

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Solution

The fourth proportional to 9,944.32, 14,912.82 and 5,785.39 is: 8,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.32 : 14,912.82 = 5,785.39 : x
  2. Step 2: Convert to fraction form
    9,944.32/14,912.82 = 5,785.39/x
  3. Step 3: Cross multiply
    9,944.32x = 14,912.82 × 5,785.39
  4. Step 4: Simplify right side
    9,944.32x = 86,276,479.70
  5. Step 5: Solve for x
    x = 86,276,479.70/9,944.32
  6. Step 6: Final answer
    x = 8,675.96

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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.