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Finding the Fourth Proportional to 9,198.40, 13,786.44 and 3,993.52

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Solution

The fourth proportional to 9,198.40, 13,786.44 and 3,993.52 is: 5,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.40 : 13,786.44 = 3,993.52 : x
  2. Step 2: Convert to fraction form
    9,198.40/13,786.44 = 3,993.52/x
  3. Step 3: Cross multiply
    9,198.40x = 13,786.44 × 3,993.52
  4. Step 4: Simplify right side
    9,198.40x = 55,056,423.87
  5. Step 5: Solve for x
    x = 55,056,423.87/9,198.40
  6. Step 6: Final answer
    x = 5,985.43

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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.