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Finding the Fourth Proportional to 6,425.73, 9,620.37 and 4,207.15

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Solution

The fourth proportional to 6,425.73, 9,620.37 and 4,207.15 is: 6,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.73 : 9,620.37 = 4,207.15 : x
  2. Step 2: Convert to fraction form
    6,425.73/9,620.37 = 4,207.15/x
  3. Step 3: Cross multiply
    6,425.73x = 9,620.37 × 4,207.15
  4. Step 4: Simplify right side
    6,425.73x = 40,474,339.65
  5. Step 5: Solve for x
    x = 40,474,339.65/6,425.73
  6. Step 6: Final answer
    x = 6,298.79

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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.