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Finding the Fourth Proportional to 8,222.65, 12,329.02 and 3,219.06

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Solution

The fourth proportional to 8,222.65, 12,329.02 and 3,219.06 is: 4,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.65 : 12,329.02 = 3,219.06 : x
  2. Step 2: Convert to fraction form
    8,222.65/12,329.02 = 3,219.06/x
  3. Step 3: Cross multiply
    8,222.65x = 12,329.02 × 3,219.06
  4. Step 4: Simplify right side
    8,222.65x = 39,687,855.12
  5. Step 5: Solve for x
    x = 39,687,855.12/8,222.65
  6. Step 6: Final answer
    x = 4,826.65

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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.