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Finding the Fourth Proportional to 9,163.47, 13,735.82 and 3,614.57

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Solution

The fourth proportional to 9,163.47, 13,735.82 and 3,614.57 is: 5,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.47 : 13,735.82 = 3,614.57 : x
  2. Step 2: Convert to fraction form
    9,163.47/13,735.82 = 3,614.57/x
  3. Step 3: Cross multiply
    9,163.47x = 13,735.82 × 3,614.57
  4. Step 4: Simplify right side
    9,163.47x = 49,648,996.15
  5. Step 5: Solve for x
    x = 49,648,996.15/9,163.47
  6. Step 6: Final answer
    x = 5,418.14

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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.