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Finding the Fourth Proportional to 9,272.92, 13,826.65 and 8,242.60

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Solution

The fourth proportional to 9,272.92, 13,826.65 and 8,242.60 is: 12,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.92 : 13,826.65 = 8,242.60 : x
  2. Step 2: Convert to fraction form
    9,272.92/13,826.65 = 8,242.60/x
  3. Step 3: Cross multiply
    9,272.92x = 13,826.65 × 8,242.60
  4. Step 4: Simplify right side
    9,272.92x = 113,967,545.29
  5. Step 5: Solve for x
    x = 113,967,545.29/9,272.92
  6. Step 6: Final answer
    x = 12,290.36

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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.