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Finding the Fourth Proportional to 9,331.92, 13,929.60 and 8,224.80

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Solution

The fourth proportional to 9,331.92, 13,929.60 and 8,224.80 is: 12,277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.92 : 13,929.60 = 8,224.80 : x
  2. Step 2: Convert to fraction form
    9,331.92/13,929.60 = 8,224.80/x
  3. Step 3: Cross multiply
    9,331.92x = 13,929.60 × 8,224.80
  4. Step 4: Simplify right side
    9,331.92x = 114,568,174.08
  5. Step 5: Solve for x
    x = 114,568,174.08/9,331.92
  6. Step 6: Final answer
    x = 12,277.02

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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.