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Finding the Fourth Proportional to 6,384.14, 9,579.11 and 2,872.21

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Solution

The fourth proportional to 6,384.14, 9,579.11 and 2,872.21 is: 4,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.14 : 9,579.11 = 2,872.21 : x
  2. Step 2: Convert to fraction form
    6,384.14/9,579.11 = 2,872.21/x
  3. Step 3: Cross multiply
    6,384.14x = 9,579.11 × 2,872.21
  4. Step 4: Simplify right side
    6,384.14x = 27,513,211.34
  5. Step 5: Solve for x
    x = 27,513,211.34/6,384.14
  6. Step 6: Final answer
    x = 4,309.62

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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.