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Finding the Fourth Proportional to 6,069.44, 9,107.69 and 2,559.23

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Solution

The fourth proportional to 6,069.44, 9,107.69 and 2,559.23 is: 3,840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.44 : 9,107.69 = 2,559.23 : x
  2. Step 2: Convert to fraction form
    6,069.44/9,107.69 = 2,559.23/x
  3. Step 3: Cross multiply
    6,069.44x = 9,107.69 × 2,559.23
  4. Step 4: Simplify right side
    6,069.44x = 23,308,615.14
  5. Step 5: Solve for x
    x = 23,308,615.14/6,069.44
  6. Step 6: Final answer
    x = 3,840.33

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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.