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Finding the Fourth Proportional to 9,947.37, 13,722.78 and 6,361.41

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Solution

The fourth proportional to 9,947.37, 13,722.78 and 6,361.41 is: 8,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.37 : 13,722.78 = 6,361.41 : x
  2. Step 2: Convert to fraction form
    9,947.37/13,722.78 = 6,361.41/x
  3. Step 3: Cross multiply
    9,947.37x = 13,722.78 × 6,361.41
  4. Step 4: Simplify right side
    9,947.37x = 87,296,229.92
  5. Step 5: Solve for x
    x = 87,296,229.92/9,947.37
  6. Step 6: Final answer
    x = 8,775.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.