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Finding the Fourth Proportional to 8,969.28, 12,381.92 and 5,385.44

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Solution

The fourth proportional to 8,969.28, 12,381.92 and 5,385.44 is: 7,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.28 : 12,381.92 = 5,385.44 : x
  2. Step 2: Convert to fraction form
    8,969.28/12,381.92 = 5,385.44/x
  3. Step 3: Cross multiply
    8,969.28x = 12,381.92 × 5,385.44
  4. Step 4: Simplify right side
    8,969.28x = 66,682,087.24
  5. Step 5: Solve for x
    x = 66,682,087.24/8,969.28
  6. Step 6: Final answer
    x = 7,434.50

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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.