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Finding the Fourth Proportional to 36,946, 55,419 and 9,244

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Solution

The fourth proportional to 36,946, 55,419 and 9,244 is: 13,866

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,946 : 55,419 = 9,244 : x
  2. Step 2: Convert to fraction form
    36,946/55,419 = 9,244/x
  3. Step 3: Cross multiply
    36,946x = 55,419 × 9,244
  4. Step 4: Simplify right side
    36,946x = 512,293,236
  5. Step 5: Solve for x
    x = 512,293,236/36,946
  6. Step 6: Final answer
    x = 13,866

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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.