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Finding the Fourth Proportional to 6,631.04, 9,149.82 and 3,836

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Solution

The fourth proportional to 6,631.04, 9,149.82 and 3,836 is: 5,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631.04 : 9,149.82 = 3,836 : x
  2. Step 2: Convert to fraction form
    6,631.04/9,149.82 = 3,836/x
  3. Step 3: Cross multiply
    6,631.04x = 9,149.82 × 3,836
  4. Step 4: Simplify right side
    6,631.04x = 35,098,709.52
  5. Step 5: Solve for x
    x = 35,098,709.52/6,631.04
  6. Step 6: Final answer
    x = 5,293.09

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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.