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Finding the Fourth Proportional to 9,198.11, 13,796.82 and 2,958

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Solution

The fourth proportional to 9,198.11, 13,796.82 and 2,958 is: 4,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.11 : 13,796.82 = 2,958 : x
  2. Step 2: Convert to fraction form
    9,198.11/13,796.82 = 2,958/x
  3. Step 3: Cross multiply
    9,198.11x = 13,796.82 × 2,958
  4. Step 4: Simplify right side
    9,198.11x = 40,810,993.56
  5. Step 5: Solve for x
    x = 40,810,993.56/9,198.11
  6. Step 6: Final answer
    x = 4,436.89

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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.