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Finding the Fourth Proportional to 8,519.72, 12,770.07 and 6,432.95

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Solution

The fourth proportional to 8,519.72, 12,770.07 and 6,432.95 is: 9,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.72 : 12,770.07 = 6,432.95 : x
  2. Step 2: Convert to fraction form
    8,519.72/12,770.07 = 6,432.95/x
  3. Step 3: Cross multiply
    8,519.72x = 12,770.07 × 6,432.95
  4. Step 4: Simplify right side
    8,519.72x = 82,149,157.96
  5. Step 5: Solve for x
    x = 82,149,157.96/8,519.72
  6. Step 6: Final answer
    x = 9,642.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.