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Finding the Fourth Proportional to 6,310.24, 9,467 and 1,927.73

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Solution

The fourth proportional to 6,310.24, 9,467 and 1,927.73 is: 2,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.24 : 9,467 = 1,927.73 : x
  2. Step 2: Convert to fraction form
    6,310.24/9,467 = 1,927.73/x
  3. Step 3: Cross multiply
    6,310.24x = 9,467 × 1,927.73
  4. Step 4: Simplify right side
    6,310.24x = 18,249,819.91
  5. Step 5: Solve for x
    x = 18,249,819.91/6,310.24
  6. Step 6: Final answer
    x = 2,892.10

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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.