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Finding the Fourth Proportional to 9,197.20, 13,719.30 and 8,311.44

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Solution

The fourth proportional to 9,197.20, 13,719.30 and 8,311.44 is: 12,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.20 : 13,719.30 = 8,311.44 : x
  2. Step 2: Convert to fraction form
    9,197.20/13,719.30 = 8,311.44/x
  3. Step 3: Cross multiply
    9,197.20x = 13,719.30 × 8,311.44
  4. Step 4: Simplify right side
    9,197.20x = 114,027,138.79
  5. Step 5: Solve for x
    x = 114,027,138.79/9,197.20
  6. Step 6: Final answer
    x = 12,398.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.