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Finding the Fourth Proportional to 6,367.70, 9,537.70 and 3,895.04

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Solution

The fourth proportional to 6,367.70, 9,537.70 and 3,895.04 is: 5,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.70 : 9,537.70 = 3,895.04 : x
  2. Step 2: Convert to fraction form
    6,367.70/9,537.70 = 3,895.04/x
  3. Step 3: Cross multiply
    6,367.70x = 9,537.70 × 3,895.04
  4. Step 4: Simplify right side
    6,367.70x = 37,149,723.01
  5. Step 5: Solve for x
    x = 37,149,723.01/6,367.70
  6. Step 6: Final answer
    x = 5,834.09

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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.