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Finding the Fourth Proportional to 36,966.38, 55,449.63 and 9,264.38

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Solution

The fourth proportional to 36,966.38, 55,449.63 and 9,264.38 is: 13,896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,966.38 : 55,449.63 = 9,264.38 : x
  2. Step 2: Convert to fraction form
    36,966.38/55,449.63 = 9,264.38/x
  3. Step 3: Cross multiply
    36,966.38x = 55,449.63 × 9,264.38
  4. Step 4: Simplify right side
    36,966.38x = 513,706,165.93
  5. Step 5: Solve for x
    x = 513,706,165.93/36,966.38
  6. Step 6: Final answer
    x = 13,896.58

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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.