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Finding the Fourth Proportional to 7,081.46, 9,772.19 and 3,894.73

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Solution

The fourth proportional to 7,081.46, 9,772.19 and 3,894.73 is: 5,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.46 : 9,772.19 = 3,894.73 : x
  2. Step 2: Convert to fraction form
    7,081.46/9,772.19 = 3,894.73/x
  3. Step 3: Cross multiply
    7,081.46x = 9,772.19 × 3,894.73
  4. Step 4: Simplify right side
    7,081.46x = 38,060,022.09
  5. Step 5: Solve for x
    x = 38,060,022.09/7,081.46
  6. Step 6: Final answer
    x = 5,374.60

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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.