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Finding the Fourth Proportional to 8,227.37, 12,328.69 and 5,736.92

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Solution

The fourth proportional to 8,227.37, 12,328.69 and 5,736.92 is: 8,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.37 : 12,328.69 = 5,736.92 : x
  2. Step 2: Convert to fraction form
    8,227.37/12,328.69 = 5,736.92/x
  3. Step 3: Cross multiply
    8,227.37x = 12,328.69 × 5,736.92
  4. Step 4: Simplify right side
    8,227.37x = 70,728,632.25
  5. Step 5: Solve for x
    x = 70,728,632.25/8,227.37
  6. Step 6: Final answer
    x = 8,596.75

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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.