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Finding the Fourth Proportional to 9,792.27, 13,522.86 and 8,367.57

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Solution

The fourth proportional to 9,792.27, 13,522.86 and 8,367.57 is: 11,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.27 : 13,522.86 = 8,367.57 : x
  2. Step 2: Convert to fraction form
    9,792.27/13,522.86 = 8,367.57/x
  3. Step 3: Cross multiply
    9,792.27x = 13,522.86 × 8,367.57
  4. Step 4: Simplify right side
    9,792.27x = 113,153,477.65
  5. Step 5: Solve for x
    x = 113,153,477.65/9,792.27
  6. Step 6: Final answer
    x = 11,555.39

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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.