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Finding the Fourth Proportional to 9,452.57, 14,181.63 and 3,906.23

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Solution

The fourth proportional to 9,452.57, 14,181.63 and 3,906.23 is: 5,860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.57 : 14,181.63 = 3,906.23 : x
  2. Step 2: Convert to fraction form
    9,452.57/14,181.63 = 3,906.23/x
  3. Step 3: Cross multiply
    9,452.57x = 14,181.63 × 3,906.23
  4. Step 4: Simplify right side
    9,452.57x = 55,396,708.55
  5. Step 5: Solve for x
    x = 55,396,708.55/9,452.57
  6. Step 6: Final answer
    x = 5,860.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.