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Finding the Fourth Proportional to 9,338.86, 12,861.21 and 8,219.39

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Solution

The fourth proportional to 9,338.86, 12,861.21 and 8,219.39 is: 11,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.86 : 12,861.21 = 8,219.39 : x
  2. Step 2: Convert to fraction form
    9,338.86/12,861.21 = 8,219.39/x
  3. Step 3: Cross multiply
    9,338.86x = 12,861.21 × 8,219.39
  4. Step 4: Simplify right side
    9,338.86x = 105,711,236.56
  5. Step 5: Solve for x
    x = 105,711,236.56/9,338.86
  6. Step 6: Final answer
    x = 11,319.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.