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Finding the Fourth Proportional to 6,180.85, 9,226.31 and 5,724.01

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Solution

The fourth proportional to 6,180.85, 9,226.31 and 5,724.01 is: 8,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.85 : 9,226.31 = 5,724.01 : x
  2. Step 2: Convert to fraction form
    6,180.85/9,226.31 = 5,724.01/x
  3. Step 3: Cross multiply
    6,180.85x = 9,226.31 × 5,724.01
  4. Step 4: Simplify right side
    6,180.85x = 52,811,481.95
  5. Step 5: Solve for x
    x = 52,811,481.95/6,180.85
  6. Step 6: Final answer
    x = 8,544.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.