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Finding the Fourth Proportional to 9,851.11, 14,759.96 and 5,947.31

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Solution

The fourth proportional to 9,851.11, 14,759.96 and 5,947.31 is: 8,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.11 : 14,759.96 = 5,947.31 : x
  2. Step 2: Convert to fraction form
    9,851.11/14,759.96 = 5,947.31/x
  3. Step 3: Cross multiply
    9,851.11x = 14,759.96 × 5,947.31
  4. Step 4: Simplify right side
    9,851.11x = 87,782,064.87
  5. Step 5: Solve for x
    x = 87,782,064.87/9,851.11
  6. Step 6: Final answer
    x = 8,910.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.