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Finding the Fourth Proportional to 6,138.93, 9,209.75 and 2,243.32

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Solution

The fourth proportional to 6,138.93, 9,209.75 and 2,243.32 is: 3,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.93 : 9,209.75 = 2,243.32 : x
  2. Step 2: Convert to fraction form
    6,138.93/9,209.75 = 2,243.32/x
  3. Step 3: Cross multiply
    6,138.93x = 9,209.75 × 2,243.32
  4. Step 4: Simplify right side
    6,138.93x = 20,660,416.37
  5. Step 5: Solve for x
    x = 20,660,416.37/6,138.93
  6. Step 6: Final answer
    x = 3,365.48

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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.