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Finding the Fourth Proportional to 9,380.34, 12,940.97 and 6,197.99

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Solution

The fourth proportional to 9,380.34, 12,940.97 and 6,197.99 is: 8,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.34 : 12,940.97 = 6,197.99 : x
  2. Step 2: Convert to fraction form
    9,380.34/12,940.97 = 6,197.99/x
  3. Step 3: Cross multiply
    9,380.34x = 12,940.97 × 6,197.99
  4. Step 4: Simplify right side
    9,380.34x = 80,207,906.96
  5. Step 5: Solve for x
    x = 80,207,906.96/9,380.34
  6. Step 6: Final answer
    x = 8,550.64

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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.