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Finding the Fourth Proportional to 9,179.89, 12,668.77 and 5,202.29

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Solution

The fourth proportional to 9,179.89, 12,668.77 and 5,202.29 is: 7,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.89 : 12,668.77 = 5,202.29 : x
  2. Step 2: Convert to fraction form
    9,179.89/12,668.77 = 5,202.29/x
  3. Step 3: Cross multiply
    9,179.89x = 12,668.77 × 5,202.29
  4. Step 4: Simplify right side
    9,179.89x = 65,906,578.26
  5. Step 5: Solve for x
    x = 65,906,578.26/9,179.89
  6. Step 6: Final answer
    x = 7,179.45

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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.