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Finding the Fourth Proportional to 9,311.60, 13,958.76 and 5,414.96

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Solution

The fourth proportional to 9,311.60, 13,958.76 and 5,414.96 is: 8,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.60 : 13,958.76 = 5,414.96 : x
  2. Step 2: Convert to fraction form
    9,311.60/13,958.76 = 5,414.96/x
  3. Step 3: Cross multiply
    9,311.60x = 13,958.76 × 5,414.96
  4. Step 4: Simplify right side
    9,311.60x = 75,586,127.05
  5. Step 5: Solve for x
    x = 75,586,127.05/9,311.60
  6. Step 6: Final answer
    x = 8,117.42

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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.