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Finding the Fourth Proportional to 6,306.42, 9,458.64 and 2,409.96

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Solution

The fourth proportional to 6,306.42, 9,458.64 and 2,409.96 is: 3,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.42 : 9,458.64 = 2,409.96 : x
  2. Step 2: Convert to fraction form
    6,306.42/9,458.64 = 2,409.96/x
  3. Step 3: Cross multiply
    6,306.42x = 9,458.64 × 2,409.96
  4. Step 4: Simplify right side
    6,306.42x = 22,794,944.05
  5. Step 5: Solve for x
    x = 22,794,944.05/6,306.42
  6. Step 6: Final answer
    x = 3,614.56

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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.