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Finding the Fourth Proportional to 6,318.32, 9,477.46 and 2,616.48

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Solution

The fourth proportional to 6,318.32, 9,477.46 and 2,616.48 is: 3,924.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.32 : 9,477.46 = 2,616.48 : x
  2. Step 2: Convert to fraction form
    6,318.32/9,477.46 = 2,616.48/x
  3. Step 3: Cross multiply
    6,318.32x = 9,477.46 × 2,616.48
  4. Step 4: Simplify right side
    6,318.32x = 24,797,584.54
  5. Step 5: Solve for x
    x = 24,797,584.54/6,318.32
  6. Step 6: Final answer
    x = 3,924.71

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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.