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Finding the Fourth Proportional to 7,091.45, 9,786.38 and 3,947.70

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Solution

The fourth proportional to 7,091.45, 9,786.38 and 3,947.70 is: 5,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.45 : 9,786.38 = 3,947.70 : x
  2. Step 2: Convert to fraction form
    7,091.45/9,786.38 = 3,947.70/x
  3. Step 3: Cross multiply
    7,091.45x = 9,786.38 × 3,947.70
  4. Step 4: Simplify right side
    7,091.45x = 38,633,692.33
  5. Step 5: Solve for x
    x = 38,633,692.33/7,091.45
  6. Step 6: Final answer
    x = 5,447.93

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Why These Related Problems?

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