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Finding the Fourth Proportional to 8,976.20, 12,381 and 5,434.88

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Solution

The fourth proportional to 8,976.20, 12,381 and 5,434.88 is: 7,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976.20 : 12,381 = 5,434.88 : x
  2. Step 2: Convert to fraction form
    8,976.20/12,381 = 5,434.88/x
  3. Step 3: Cross multiply
    8,976.20x = 12,381 × 5,434.88
  4. Step 4: Simplify right side
    8,976.20x = 67,289,249.28
  5. Step 5: Solve for x
    x = 67,289,249.28/8,976.20
  6. Step 6: Final answer
    x = 7,496.41

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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.