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Finding the Fourth Proportional to 8,469.18, 12,706.33 and 3,205.80

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Solution

The fourth proportional to 8,469.18, 12,706.33 and 3,205.80 is: 4,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.18 : 12,706.33 = 3,205.80 : x
  2. Step 2: Convert to fraction form
    8,469.18/12,706.33 = 3,205.80/x
  3. Step 3: Cross multiply
    8,469.18x = 12,706.33 × 3,205.80
  4. Step 4: Simplify right side
    8,469.18x = 40,733,952.71
  5. Step 5: Solve for x
    x = 40,733,952.71/8,469.18
  6. Step 6: Final answer
    x = 4,809.67

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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.