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Finding the Fourth Proportional to 6,226.12, 9,341.01 and 1,843.69

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Solution

The fourth proportional to 6,226.12, 9,341.01 and 1,843.69 is: 2,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.12 : 9,341.01 = 1,843.69 : x
  2. Step 2: Convert to fraction form
    6,226.12/9,341.01 = 1,843.69/x
  3. Step 3: Cross multiply
    6,226.12x = 9,341.01 × 1,843.69
  4. Step 4: Simplify right side
    6,226.12x = 17,221,926.73
  5. Step 5: Solve for x
    x = 17,221,926.73/6,226.12
  6. Step 6: Final answer
    x = 2,766.08

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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.