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Finding the Fourth Proportional to 6,086.85, 9,128.45 and 3,163.56

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Solution

The fourth proportional to 6,086.85, 9,128.45 and 3,163.56 is: 4,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.85 : 9,128.45 = 3,163.56 : x
  2. Step 2: Convert to fraction form
    6,086.85/9,128.45 = 3,163.56/x
  3. Step 3: Cross multiply
    6,086.85x = 9,128.45 × 3,163.56
  4. Step 4: Simplify right side
    6,086.85x = 28,878,399.28
  5. Step 5: Solve for x
    x = 28,878,399.28/6,086.85
  6. Step 6: Final answer
    x = 4,744.39

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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.