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Finding the Fourth Proportional to 7,091.55, 9,785.49 and 4,106.97

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Solution

The fourth proportional to 7,091.55, 9,785.49 and 4,106.97 is: 5,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.55 : 9,785.49 = 4,106.97 : x
  2. Step 2: Convert to fraction form
    7,091.55/9,785.49 = 4,106.97/x
  3. Step 3: Cross multiply
    7,091.55x = 9,785.49 × 4,106.97
  4. Step 4: Simplify right side
    7,091.55x = 40,188,713.87
  5. Step 5: Solve for x
    x = 40,188,713.87/7,091.55
  6. Step 6: Final answer
    x = 5,667.13

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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.