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Finding the Fourth Proportional to 9,198.34, 13,786.65 and 3,931.81

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Solution

The fourth proportional to 9,198.34, 13,786.65 and 3,931.81 is: 5,893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.34 : 13,786.65 = 3,931.81 : x
  2. Step 2: Convert to fraction form
    9,198.34/13,786.65 = 3,931.81/x
  3. Step 3: Cross multiply
    9,198.34x = 13,786.65 × 3,931.81
  4. Step 4: Simplify right side
    9,198.34x = 54,206,468.68
  5. Step 5: Solve for x
    x = 54,206,468.68/9,198.34
  6. Step 6: Final answer
    x = 5,893.07

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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.