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Finding the Fourth Proportional to 6,864.11, 9,471.49 and 3,839.22

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Solution

The fourth proportional to 6,864.11, 9,471.49 and 3,839.22 is: 5,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.11 : 9,471.49 = 3,839.22 : x
  2. Step 2: Convert to fraction form
    6,864.11/9,471.49 = 3,839.22/x
  3. Step 3: Cross multiply
    6,864.11x = 9,471.49 × 3,839.22
  4. Step 4: Simplify right side
    6,864.11x = 36,363,124.24
  5. Step 5: Solve for x
    x = 36,363,124.24/6,864.11
  6. Step 6: Final answer
    x = 5,297.57

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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.