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Finding the Fourth Proportional to 36,896.10, 55,344.15 and 9,194.10

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Solution

The fourth proportional to 36,896.10, 55,344.15 and 9,194.10 is: 13,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,896.10 : 55,344.15 = 9,194.10 : x
  2. Step 2: Convert to fraction form
    36,896.10/55,344.15 = 9,194.10/x
  3. Step 3: Cross multiply
    36,896.10x = 55,344.15 × 9,194.10
  4. Step 4: Simplify right side
    36,896.10x = 508,839,649.52
  5. Step 5: Solve for x
    x = 508,839,649.52/36,896.10
  6. Step 6: Final answer
    x = 13,791.15

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