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Finding the Fourth Proportional to 9,370.62, 12,942.09 and 6,381.27

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Solution

The fourth proportional to 9,370.62, 12,942.09 and 6,381.27 is: 8,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370.62 : 12,942.09 = 6,381.27 : x
  2. Step 2: Convert to fraction form
    9,370.62/12,942.09 = 6,381.27/x
  3. Step 3: Cross multiply
    9,370.62x = 12,942.09 × 6,381.27
  4. Step 4: Simplify right side
    9,370.62x = 82,586,970.65
  5. Step 5: Solve for x
    x = 82,586,970.65/9,370.62
  6. Step 6: Final answer
    x = 8,813.39

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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.