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Finding the Fourth Proportional to 7,091.73, 9,786.17 and 4,107.35

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Solution

The fourth proportional to 7,091.73, 9,786.17 and 4,107.35 is: 5,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.73 : 9,786.17 = 4,107.35 : x
  2. Step 2: Convert to fraction form
    7,091.73/9,786.17 = 4,107.35/x
  3. Step 3: Cross multiply
    7,091.73x = 9,786.17 × 4,107.35
  4. Step 4: Simplify right side
    7,091.73x = 40,195,155.88
  5. Step 5: Solve for x
    x = 40,195,155.88/7,091.73
  6. Step 6: Final answer
    x = 5,667.89

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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.