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Finding the Fourth Proportional to 9,229.09, 13,842.86 and 2,988.97

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Solution

The fourth proportional to 9,229.09, 13,842.86 and 2,988.97 is: 4,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.09 : 13,842.86 = 2,988.97 : x
  2. Step 2: Convert to fraction form
    9,229.09/13,842.86 = 2,988.97/x
  3. Step 3: Cross multiply
    9,229.09x = 13,842.86 × 2,988.97
  4. Step 4: Simplify right side
    9,229.09x = 41,375,893.25
  5. Step 5: Solve for x
    x = 41,375,893.25/9,229.09
  6. Step 6: Final answer
    x = 4,483.20

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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.