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Finding the Fourth Proportional to 7,091.72, 9,786.40 and 3,947.84

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Solution

The fourth proportional to 7,091.72, 9,786.40 and 3,947.84 is: 5,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.72 : 9,786.40 = 3,947.84 : x
  2. Step 2: Convert to fraction form
    7,091.72/9,786.40 = 3,947.84/x
  3. Step 3: Cross multiply
    7,091.72x = 9,786.40 × 3,947.84
  4. Step 4: Simplify right side
    7,091.72x = 38,635,141.38
  5. Step 5: Solve for x
    x = 38,635,141.38/7,091.72
  6. Step 6: Final answer
    x = 5,447.92

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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.