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Finding the Fourth Proportional to 8,460.69, 12,692.25 and 3,197.67

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Solution

The fourth proportional to 8,460.69, 12,692.25 and 3,197.67 is: 4,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.69 : 12,692.25 = 3,197.67 : x
  2. Step 2: Convert to fraction form
    8,460.69/12,692.25 = 3,197.67/x
  3. Step 3: Cross multiply
    8,460.69x = 12,692.25 × 3,197.67
  4. Step 4: Simplify right side
    8,460.69x = 40,585,627.06
  5. Step 5: Solve for x
    x = 40,585,627.06/8,460.69
  6. Step 6: Final answer
    x = 4,796.96

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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.