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Finding the Fourth Proportional to 9,122.82, 13,686.42 and 3,198.84

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Solution

The fourth proportional to 9,122.82, 13,686.42 and 3,198.84 is: 4,799.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.82 : 13,686.42 = 3,198.84 : x
  2. Step 2: Convert to fraction form
    9,122.82/13,686.42 = 3,198.84/x
  3. Step 3: Cross multiply
    9,122.82x = 13,686.42 × 3,198.84
  4. Step 4: Simplify right side
    9,122.82x = 43,780,667.75
  5. Step 5: Solve for x
    x = 43,780,667.75/9,122.82
  6. Step 6: Final answer
    x = 4,799.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.