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Finding the Fourth Proportional to 6,234.42, 9,353.66 and 4,162.85

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Solution

The fourth proportional to 6,234.42, 9,353.66 and 4,162.85 is: 6,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.42 : 9,353.66 = 4,162.85 : x
  2. Step 2: Convert to fraction form
    6,234.42/9,353.66 = 4,162.85/x
  3. Step 3: Cross multiply
    6,234.42x = 9,353.66 × 4,162.85
  4. Step 4: Simplify right side
    6,234.42x = 38,937,815.95
  5. Step 5: Solve for x
    x = 38,937,815.95/6,234.42
  6. Step 6: Final answer
    x = 6,245.62

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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.