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Finding the Fourth Proportional to 10,049.43, 13,864.49 and 6,069.09

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Solution

The fourth proportional to 10,049.43, 13,864.49 and 6,069.09 is: 8,373.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.43 : 13,864.49 = 6,069.09 : x
  2. Step 2: Convert to fraction form
    10,049.43/13,864.49 = 6,069.09/x
  3. Step 3: Cross multiply
    10,049.43x = 13,864.49 × 6,069.09
  4. Step 4: Simplify right side
    10,049.43x = 84,144,807.27
  5. Step 5: Solve for x
    x = 84,144,807.27/10,049.43
  6. Step 6: Final answer
    x = 8,373.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.