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Finding the Fourth Proportional to 9,986.43, 13,786.56 and 7,743.27

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Solution

The fourth proportional to 9,986.43, 13,786.56 and 7,743.27 is: 10,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.43 : 13,786.56 = 7,743.27 : x
  2. Step 2: Convert to fraction form
    9,986.43/13,786.56 = 7,743.27/x
  3. Step 3: Cross multiply
    9,986.43x = 13,786.56 × 7,743.27
  4. Step 4: Simplify right side
    9,986.43x = 106,753,056.45
  5. Step 5: Solve for x
    x = 106,753,056.45/9,986.43
  6. Step 6: Final answer
    x = 10,689.81

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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.