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Finding the Fourth Proportional to 6,114.86, 9,163.89 and 3,334.22

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Solution

The fourth proportional to 6,114.86, 9,163.89 and 3,334.22 is: 4,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.86 : 9,163.89 = 3,334.22 : x
  2. Step 2: Convert to fraction form
    6,114.86/9,163.89 = 3,334.22/x
  3. Step 3: Cross multiply
    6,114.86x = 9,163.89 × 3,334.22
  4. Step 4: Simplify right side
    6,114.86x = 30,554,425.32
  5. Step 5: Solve for x
    x = 30,554,425.32/6,114.86
  6. Step 6: Final answer
    x = 4,996.75

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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.