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Finding the Fourth Proportional to 8,222.84, 12,333.30 and 3,292.28

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Solution

The fourth proportional to 8,222.84, 12,333.30 and 3,292.28 is: 4,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.84 : 12,333.30 = 3,292.28 : x
  2. Step 2: Convert to fraction form
    8,222.84/12,333.30 = 3,292.28/x
  3. Step 3: Cross multiply
    8,222.84x = 12,333.30 × 3,292.28
  4. Step 4: Simplify right side
    8,222.84x = 40,604,676.92
  5. Step 5: Solve for x
    x = 40,604,676.92/8,222.84
  6. Step 6: Final answer
    x = 4,938.04

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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.