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Finding the Fourth Proportional to 9,882.71, 13,637.09 and 5,903.27

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Solution

The fourth proportional to 9,882.71, 13,637.09 and 5,903.27 is: 8,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.71 : 13,637.09 = 5,903.27 : x
  2. Step 2: Convert to fraction form
    9,882.71/13,637.09 = 5,903.27/x
  3. Step 3: Cross multiply
    9,882.71x = 13,637.09 × 5,903.27
  4. Step 4: Simplify right side
    9,882.71x = 80,503,370.86
  5. Step 5: Solve for x
    x = 80,503,370.86/9,882.71
  6. Step 6: Final answer
    x = 8,145.88

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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.