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Finding the Fourth Proportional to 6,584.55, 9,863.82 and 3,809.49

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Solution

The fourth proportional to 6,584.55, 9,863.82 and 3,809.49 is: 5,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.55 : 9,863.82 = 3,809.49 : x
  2. Step 2: Convert to fraction form
    6,584.55/9,863.82 = 3,809.49/x
  3. Step 3: Cross multiply
    6,584.55x = 9,863.82 × 3,809.49
  4. Step 4: Simplify right side
    6,584.55x = 37,576,123.65
  5. Step 5: Solve for x
    x = 37,576,123.65/6,584.55
  6. Step 6: Final answer
    x = 5,706.71

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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.