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Finding the Fourth Proportional to 6,801.44, 10,194.26 and 6,023.03

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Solution

The fourth proportional to 6,801.44, 10,194.26 and 6,023.03 is: 9,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.44 : 10,194.26 = 6,023.03 : x
  2. Step 2: Convert to fraction form
    6,801.44/10,194.26 = 6,023.03/x
  3. Step 3: Cross multiply
    6,801.44x = 10,194.26 × 6,023.03
  4. Step 4: Simplify right side
    6,801.44x = 61,400,252.72
  5. Step 5: Solve for x
    x = 61,400,252.72/6,801.44
  6. Step 6: Final answer
    x = 9,027.54

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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.