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Finding the Fourth Proportional to 9,614.75, 14,422.85 and 5,453.15

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Solution

The fourth proportional to 9,614.75, 14,422.85 and 5,453.15 is: 8,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.75 : 14,422.85 = 5,453.15 : x
  2. Step 2: Convert to fraction form
    9,614.75/14,422.85 = 5,453.15/x
  3. Step 3: Cross multiply
    9,614.75x = 14,422.85 × 5,453.15
  4. Step 4: Simplify right side
    9,614.75x = 78,649,964.48
  5. Step 5: Solve for x
    x = 78,649,964.48/9,614.75
  6. Step 6: Final answer
    x = 8,180.14

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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.