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Finding the Fourth Proportional to 6,115.95, 9,161.78 and 3,338.46

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Solution

The fourth proportional to 6,115.95, 9,161.78 and 3,338.46 is: 5,001.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.95 : 9,161.78 = 3,338.46 : x
  2. Step 2: Convert to fraction form
    6,115.95/9,161.78 = 3,338.46/x
  3. Step 3: Cross multiply
    6,115.95x = 9,161.78 × 3,338.46
  4. Step 4: Simplify right side
    6,115.95x = 30,586,219.37
  5. Step 5: Solve for x
    x = 30,586,219.37/6,115.95
  6. Step 6: Final answer
    x = 5,001.06

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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.