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Finding the Fourth Proportional to 9,194.79, 13,765.59 and 8,245.20

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Solution

The fourth proportional to 9,194.79, 13,765.59 and 8,245.20 is: 12,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.79 : 13,765.59 = 8,245.20 : x
  2. Step 2: Convert to fraction form
    9,194.79/13,765.59 = 8,245.20/x
  3. Step 3: Cross multiply
    9,194.79x = 13,765.59 × 8,245.20
  4. Step 4: Simplify right side
    9,194.79x = 113,500,042.67
  5. Step 5: Solve for x
    x = 113,500,042.67/9,194.79
  6. Step 6: Final answer
    x = 12,343.95

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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.