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Finding the Fourth Proportional to 8,222.54, 12,331.75 and 3,225.92

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Solution

The fourth proportional to 8,222.54, 12,331.75 and 3,225.92 is: 4,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.54 : 12,331.75 = 3,225.92 : x
  2. Step 2: Convert to fraction form
    8,222.54/12,331.75 = 3,225.92/x
  3. Step 3: Cross multiply
    8,222.54x = 12,331.75 × 3,225.92
  4. Step 4: Simplify right side
    8,222.54x = 39,781,261.72
  5. Step 5: Solve for x
    x = 39,781,261.72/8,222.54
  6. Step 6: Final answer
    x = 4,838.08

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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.