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Finding the Fourth Proportional to 6,164.36, 9,242.22 and 2,268.26

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Solution

The fourth proportional to 6,164.36, 9,242.22 and 2,268.26 is: 3,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.36 : 9,242.22 = 2,268.26 : x
  2. Step 2: Convert to fraction form
    6,164.36/9,242.22 = 2,268.26/x
  3. Step 3: Cross multiply
    6,164.36x = 9,242.22 × 2,268.26
  4. Step 4: Simplify right side
    6,164.36x = 20,963,757.94
  5. Step 5: Solve for x
    x = 20,963,757.94/6,164.36
  6. Step 6: Final answer
    x = 3,400.80

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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.