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Finding the Fourth Proportional to 6,161.91, 9,222.75 and 3,346.49

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Solution

The fourth proportional to 6,161.91, 9,222.75 and 3,346.49 is: 5,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.91 : 9,222.75 = 3,346.49 : x
  2. Step 2: Convert to fraction form
    6,161.91/9,222.75 = 3,346.49/x
  3. Step 3: Cross multiply
    6,161.91x = 9,222.75 × 3,346.49
  4. Step 4: Simplify right side
    6,161.91x = 30,863,807.08
  5. Step 5: Solve for x
    x = 30,863,807.08/6,161.91
  6. Step 6: Final answer
    x = 5,008.81

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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.