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Finding the Fourth Proportional to 36,940, 55,411.08 and 9,238

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Solution

The fourth proportional to 36,940, 55,411.08 and 9,238 is: 13,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,940 : 55,411.08 = 9,238 : x
  2. Step 2: Convert to fraction form
    36,940/55,411.08 = 9,238/x
  3. Step 3: Cross multiply
    36,940x = 55,411.08 × 9,238
  4. Step 4: Simplify right side
    36,940x = 511,887,557.04
  5. Step 5: Solve for x
    x = 511,887,557.04/36,940
  6. Step 6: Final answer
    x = 13,857.27

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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.