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Finding the Fourth Proportional to 9,086.99, 13,634.43 and 3,825.43

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Solution

The fourth proportional to 9,086.99, 13,634.43 and 3,825.43 is: 5,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.99 : 13,634.43 = 3,825.43 : x
  2. Step 2: Convert to fraction form
    9,086.99/13,634.43 = 3,825.43/x
  3. Step 3: Cross multiply
    9,086.99x = 13,634.43 × 3,825.43
  4. Step 4: Simplify right side
    9,086.99x = 52,157,509.12
  5. Step 5: Solve for x
    x = 52,157,509.12/9,086.99
  6. Step 6: Final answer
    x = 5,739.80

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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.