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Finding the Fourth Proportional to 7,084.58, 9,777.04 and 3,940.97

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Solution

The fourth proportional to 7,084.58, 9,777.04 and 3,940.97 is: 5,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.58 : 9,777.04 = 3,940.97 : x
  2. Step 2: Convert to fraction form
    7,084.58/9,777.04 = 3,940.97/x
  3. Step 3: Cross multiply
    7,084.58x = 9,777.04 × 3,940.97
  4. Step 4: Simplify right side
    7,084.58x = 38,530,962.59
  5. Step 5: Solve for x
    x = 38,530,962.59/7,084.58
  6. Step 6: Final answer
    x = 5,438.71

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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.