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Finding the Fourth Proportional to 9,168.33, 12,651.90 and 5,189.66

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Solution

The fourth proportional to 9,168.33, 12,651.90 and 5,189.66 is: 7,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.33 : 12,651.90 = 5,189.66 : x
  2. Step 2: Convert to fraction form
    9,168.33/12,651.90 = 5,189.66/x
  3. Step 3: Cross multiply
    9,168.33x = 12,651.90 × 5,189.66
  4. Step 4: Simplify right side
    9,168.33x = 65,658,996.09
  5. Step 5: Solve for x
    x = 65,658,996.09/9,168.33
  6. Step 6: Final answer
    x = 7,161.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.