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Finding the Fourth Proportional to 8,134.67, 12,202.02 and 3,201.62

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Solution

The fourth proportional to 8,134.67, 12,202.02 and 3,201.62 is: 4,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.67 : 12,202.02 = 3,201.62 : x
  2. Step 2: Convert to fraction form
    8,134.67/12,202.02 = 3,201.62/x
  3. Step 3: Cross multiply
    8,134.67x = 12,202.02 × 3,201.62
  4. Step 4: Simplify right side
    8,134.67x = 39,066,215.26
  5. Step 5: Solve for x
    x = 39,066,215.26/8,134.67
  6. Step 6: Final answer
    x = 4,802.43

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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.