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Finding the Fourth Proportional to 8,432.20, 11,644.86 and 6,954.76

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Solution

The fourth proportional to 8,432.20, 11,644.86 and 6,954.76 is: 9,604.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.20 : 11,644.86 = 6,954.76 : x
  2. Step 2: Convert to fraction form
    8,432.20/11,644.86 = 6,954.76/x
  3. Step 3: Cross multiply
    8,432.20x = 11,644.86 × 6,954.76
  4. Step 4: Simplify right side
    8,432.20x = 80,987,206.53
  5. Step 5: Solve for x
    x = 80,987,206.53/8,432.20
  6. Step 6: Final answer
    x = 9,604.52

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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.