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Finding the Fourth Proportional to 6,226.07, 9,340.47 and 1,843.87

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Solution

The fourth proportional to 6,226.07, 9,340.47 and 1,843.87 is: 2,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.07 : 9,340.47 = 1,843.87 : x
  2. Step 2: Convert to fraction form
    6,226.07/9,340.47 = 1,843.87/x
  3. Step 3: Cross multiply
    6,226.07x = 9,340.47 × 1,843.87
  4. Step 4: Simplify right side
    6,226.07x = 17,222,612.42
  5. Step 5: Solve for x
    x = 17,222,612.42/6,226.07
  6. Step 6: Final answer
    x = 2,766.21

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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.