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Finding the Fourth Proportional to 9,229.23, 13,842.78 and 2,566.26

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Solution

The fourth proportional to 9,229.23, 13,842.78 and 2,566.26 is: 3,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.23 : 13,842.78 = 2,566.26 : x
  2. Step 2: Convert to fraction form
    9,229.23/13,842.78 = 2,566.26/x
  3. Step 3: Cross multiply
    9,229.23x = 13,842.78 × 2,566.26
  4. Step 4: Simplify right side
    9,229.23x = 35,524,172.60
  5. Step 5: Solve for x
    x = 35,524,172.60/9,229.23
  6. Step 6: Final answer
    x = 3,849.09

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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.