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Finding the Fourth Proportional to 9,214.80, 13,811.26 and 5,311.14

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Solution

The fourth proportional to 9,214.80, 13,811.26 and 5,311.14 is: 7,960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.80 : 13,811.26 = 5,311.14 : x
  2. Step 2: Convert to fraction form
    9,214.80/13,811.26 = 5,311.14/x
  3. Step 3: Cross multiply
    9,214.80x = 13,811.26 × 5,311.14
  4. Step 4: Simplify right side
    9,214.80x = 73,353,535.44
  5. Step 5: Solve for x
    x = 73,353,535.44/9,214.80
  6. Step 6: Final answer
    x = 7,960.40

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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.