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Finding the Fourth Proportional to 6,864.66, 9,473.22 and 3,839.94

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Solution

The fourth proportional to 6,864.66, 9,473.22 and 3,839.94 is: 5,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.66 : 9,473.22 = 3,839.94 : x
  2. Step 2: Convert to fraction form
    6,864.66/9,473.22 = 3,839.94/x
  3. Step 3: Cross multiply
    6,864.66x = 9,473.22 × 3,839.94
  4. Step 4: Simplify right side
    6,864.66x = 36,376,596.41
  5. Step 5: Solve for x
    x = 36,376,596.41/6,864.66
  6. Step 6: Final answer
    x = 5,299.11

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Why These Related Problems?

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