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Finding the Fourth Proportional to 6,375.09, 9,548.77 and 3,081.25

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Solution

The fourth proportional to 6,375.09, 9,548.77 and 3,081.25 is: 4,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.09 : 9,548.77 = 3,081.25 : x
  2. Step 2: Convert to fraction form
    6,375.09/9,548.77 = 3,081.25/x
  3. Step 3: Cross multiply
    6,375.09x = 9,548.77 × 3,081.25
  4. Step 4: Simplify right side
    6,375.09x = 29,422,147.56
  5. Step 5: Solve for x
    x = 29,422,147.56/6,375.09
  6. Step 6: Final answer
    x = 4,615.17

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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.