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Finding the Fourth Proportional to 6,230.21, 9,345.31 and 4,276.49

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Solution

The fourth proportional to 6,230.21, 9,345.31 and 4,276.49 is: 6,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.21 : 9,345.31 = 4,276.49 : x
  2. Step 2: Convert to fraction form
    6,230.21/9,345.31 = 4,276.49/x
  3. Step 3: Cross multiply
    6,230.21x = 9,345.31 × 4,276.49
  4. Step 4: Simplify right side
    6,230.21x = 39,965,067.34
  5. Step 5: Solve for x
    x = 39,965,067.34/6,230.21
  6. Step 6: Final answer
    x = 6,414.73

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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.