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Finding the Fourth Proportional to 6,230.14, 9,345.21 and 4,276.42

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Solution

The fourth proportional to 6,230.14, 9,345.21 and 4,276.42 is: 6,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.14 : 9,345.21 = 4,276.42 : x
  2. Step 2: Convert to fraction form
    6,230.14/9,345.21 = 4,276.42/x
  3. Step 3: Cross multiply
    6,230.14x = 9,345.21 × 4,276.42
  4. Step 4: Simplify right side
    6,230.14x = 39,964,042.95
  5. Step 5: Solve for x
    x = 39,964,042.95/6,230.14
  6. Step 6: Final answer
    x = 6,414.63

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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.