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Finding the Fourth Proportional to 9,091.97, 13,634.37 and 5,395.17

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Solution

The fourth proportional to 9,091.97, 13,634.37 and 5,395.17 is: 8,090.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.97 : 13,634.37 = 5,395.17 : x
  2. Step 2: Convert to fraction form
    9,091.97/13,634.37 = 5,395.17/x
  3. Step 3: Cross multiply
    9,091.97x = 13,634.37 × 5,395.17
  4. Step 4: Simplify right side
    9,091.97x = 73,559,743.99
  5. Step 5: Solve for x
    x = 73,559,743.99/9,091.97
  6. Step 6: Final answer
    x = 8,090.63

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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.