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Finding the Fourth Proportional to 9,182.59, 13,773.11 and 3,634.43

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Solution

The fourth proportional to 9,182.59, 13,773.11 and 3,634.43 is: 5,451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.59 : 13,773.11 = 3,634.43 : x
  2. Step 2: Convert to fraction form
    9,182.59/13,773.11 = 3,634.43/x
  3. Step 3: Cross multiply
    9,182.59x = 13,773.11 × 3,634.43
  4. Step 4: Simplify right side
    9,182.59x = 50,057,317.14
  5. Step 5: Solve for x
    x = 50,057,317.14/9,182.59
  6. Step 6: Final answer
    x = 5,451.33

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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.