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Finding the Fourth Proportional to 6,226.67, 9,340.90 and 1,843.55

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Solution

The fourth proportional to 6,226.67, 9,340.90 and 1,843.55 is: 2,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.67 : 9,340.90 = 1,843.55 : x
  2. Step 2: Convert to fraction form
    6,226.67/9,340.90 = 1,843.55/x
  3. Step 3: Cross multiply
    6,226.67x = 9,340.90 × 1,843.55
  4. Step 4: Simplify right side
    6,226.67x = 17,220,364.88
  5. Step 5: Solve for x
    x = 17,220,364.88/6,226.67
  6. Step 6: Final answer
    x = 2,765.58

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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.