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Finding the Fourth Proportional to 6,323.98, 9,490.81 and 2,863.66

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Solution

The fourth proportional to 6,323.98, 9,490.81 and 2,863.66 is: 4,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.98 : 9,490.81 = 2,863.66 : x
  2. Step 2: Convert to fraction form
    6,323.98/9,490.81 = 2,863.66/x
  3. Step 3: Cross multiply
    6,323.98x = 9,490.81 × 2,863.66
  4. Step 4: Simplify right side
    6,323.98x = 27,178,452.96
  5. Step 5: Solve for x
    x = 27,178,452.96/6,323.98
  6. Step 6: Final answer
    x = 4,297.68

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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.