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Finding the Fourth Proportional to 7,091.36, 9,786.24 and 3,947.34

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Solution

The fourth proportional to 7,091.36, 9,786.24 and 3,947.34 is: 5,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.36 : 9,786.24 = 3,947.34 : x
  2. Step 2: Convert to fraction form
    7,091.36/9,786.24 = 3,947.34/x
  3. Step 3: Cross multiply
    7,091.36x = 9,786.24 × 3,947.34
  4. Step 4: Simplify right side
    7,091.36x = 38,629,616.60
  5. Step 5: Solve for x
    x = 38,629,616.60/7,091.36
  6. Step 6: Final answer
    x = 5,447.42

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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.