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Finding the Fourth Proportional to 36,786, 55,180.08 and 9,084

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Solution

The fourth proportional to 36,786, 55,180.08 and 9,084 is: 13,626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,786 : 55,180.08 = 9,084 : x
  2. Step 2: Convert to fraction form
    36,786/55,180.08 = 9,084/x
  3. Step 3: Cross multiply
    36,786x = 55,180.08 × 9,084
  4. Step 4: Simplify right side
    36,786x = 501,255,846.72
  5. Step 5: Solve for x
    x = 501,255,846.72/36,786
  6. Step 6: Final answer
    x = 13,626.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.