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Finding the Fourth Proportional to 9,489.42, 13,112.79 and 8,226.43

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Solution

The fourth proportional to 9,489.42, 13,112.79 and 8,226.43 is: 11,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.42 : 13,112.79 = 8,226.43 : x
  2. Step 2: Convert to fraction form
    9,489.42/13,112.79 = 8,226.43/x
  3. Step 3: Cross multiply
    9,489.42x = 13,112.79 × 8,226.43
  4. Step 4: Simplify right side
    9,489.42x = 107,871,385.41
  5. Step 5: Solve for x
    x = 107,871,385.41/9,489.42
  6. Step 6: Final answer
    x = 11,367.54

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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.