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Finding the Fourth Proportional to 9,614.85, 14,434.57 and 8,163.22

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Solution

The fourth proportional to 9,614.85, 14,434.57 and 8,163.22 is: 12,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.85 : 14,434.57 = 8,163.22 : x
  2. Step 2: Convert to fraction form
    9,614.85/14,434.57 = 8,163.22/x
  3. Step 3: Cross multiply
    9,614.85x = 14,434.57 × 8,163.22
  4. Step 4: Simplify right side
    9,614.85x = 117,832,570.52
  5. Step 5: Solve for x
    x = 117,832,570.52/9,614.85
  6. Step 6: Final answer
    x = 12,255.27

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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.