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Finding the Fourth Proportional to 6,311.00, 9,467.54 and 2,363.64

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Solution

The fourth proportional to 6,311.00, 9,467.54 and 2,363.64 is: 3,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.00 : 9,467.54 = 2,363.64 : x
  2. Step 2: Convert to fraction form
    6,311.00/9,467.54 = 2,363.64/x
  3. Step 3: Cross multiply
    6,311.00x = 9,467.54 × 2,363.64
  4. Step 4: Simplify right side
    6,311.00x = 22,377,844.43
  5. Step 5: Solve for x
    x = 22,377,844.43/6,311.00
  6. Step 6: Final answer
    x = 3,545.85

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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.