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Finding the Fourth Proportional to 9,309.09, 13,966.25 and 3,766.33

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Solution

The fourth proportional to 9,309.09, 13,966.25 and 3,766.33 is: 5,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.09 : 13,966.25 = 3,766.33 : x
  2. Step 2: Convert to fraction form
    9,309.09/13,966.25 = 3,766.33/x
  3. Step 3: Cross multiply
    9,309.09x = 13,966.25 × 3,766.33
  4. Step 4: Simplify right side
    9,309.09x = 52,601,452.62
  5. Step 5: Solve for x
    x = 52,601,452.62/9,309.09
  6. Step 6: Final answer
    x = 5,650.55

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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.