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Finding the Fourth Proportional to 8,972.46, 12,382.40 and 4,993.83

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Solution

The fourth proportional to 8,972.46, 12,382.40 and 4,993.83 is: 6,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.46 : 12,382.40 = 4,993.83 : x
  2. Step 2: Convert to fraction form
    8,972.46/12,382.40 = 4,993.83/x
  3. Step 3: Cross multiply
    8,972.46x = 12,382.40 × 4,993.83
  4. Step 4: Simplify right side
    8,972.46x = 61,835,613.08
  5. Step 5: Solve for x
    x = 61,835,613.08/8,972.46
  6. Step 6: Final answer
    x = 6,891.71

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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.