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Finding the Fourth Proportional to 8,767.14, 13,142.89 and 3,219.21

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Solution

The fourth proportional to 8,767.14, 13,142.89 and 3,219.21 is: 4,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.14 : 13,142.89 = 3,219.21 : x
  2. Step 2: Convert to fraction form
    8,767.14/13,142.89 = 3,219.21/x
  3. Step 3: Cross multiply
    8,767.14x = 13,142.89 × 3,219.21
  4. Step 4: Simplify right side
    8,767.14x = 42,309,722.92
  5. Step 5: Solve for x
    x = 42,309,722.92/8,767.14
  6. Step 6: Final answer
    x = 4,825.94

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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.