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Finding the Fourth Proportional to 6,226.36, 9,336.30 and 1,843.22

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Solution

The fourth proportional to 6,226.36, 9,336.30 and 1,843.22 is: 2,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.36 : 9,336.30 = 1,843.22 : x
  2. Step 2: Convert to fraction form
    6,226.36/9,336.30 = 1,843.22/x
  3. Step 3: Cross multiply
    6,226.36x = 9,336.30 × 1,843.22
  4. Step 4: Simplify right side
    6,226.36x = 17,208,854.89
  5. Step 5: Solve for x
    x = 17,208,854.89/6,226.36
  6. Step 6: Final answer
    x = 2,763.87

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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.