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Finding the Fourth Proportional to 6,891.72, 9,506.72 and 4,238.61

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Solution

The fourth proportional to 6,891.72, 9,506.72 and 4,238.61 is: 5,846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.72 : 9,506.72 = 4,238.61 : x
  2. Step 2: Convert to fraction form
    6,891.72/9,506.72 = 4,238.61/x
  3. Step 3: Cross multiply
    6,891.72x = 9,506.72 × 4,238.61
  4. Step 4: Simplify right side
    6,891.72x = 40,295,257.27
  5. Step 5: Solve for x
    x = 40,295,257.27/6,891.72
  6. Step 6: Final answer
    x = 5,846.91

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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.