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Finding the Fourth Proportional to 6,849.50, 9,449.60 and 4,330.68

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Solution

The fourth proportional to 6,849.50, 9,449.60 and 4,330.68 is: 5,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.50 : 9,449.60 = 4,330.68 : x
  2. Step 2: Convert to fraction form
    6,849.50/9,449.60 = 4,330.68/x
  3. Step 3: Cross multiply
    6,849.50x = 9,449.60 × 4,330.68
  4. Step 4: Simplify right side
    6,849.50x = 40,923,193.73
  5. Step 5: Solve for x
    x = 40,923,193.73/6,849.50
  6. Step 6: Final answer
    x = 5,974.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.