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Finding the Fourth Proportional to 9,272.41, 13,825.91 and 8,242.09

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Solution

The fourth proportional to 9,272.41, 13,825.91 and 8,242.09 is: 12,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.41 : 13,825.91 = 8,242.09 : x
  2. Step 2: Convert to fraction form
    9,272.41/13,825.91 = 8,242.09/x
  3. Step 3: Cross multiply
    9,272.41x = 13,825.91 × 8,242.09
  4. Step 4: Simplify right side
    9,272.41x = 113,954,394.55
  5. Step 5: Solve for x
    x = 113,954,394.55/9,272.41
  6. Step 6: Final answer
    x = 12,289.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.