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Finding the Fourth Proportional to 7,084.50, 9,777.36 and 3,940.98

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Solution

The fourth proportional to 7,084.50, 9,777.36 and 3,940.98 is: 5,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.50 : 9,777.36 = 3,940.98 : x
  2. Step 2: Convert to fraction form
    7,084.50/9,777.36 = 3,940.98/x
  3. Step 3: Cross multiply
    7,084.50x = 9,777.36 × 3,940.98
  4. Step 4: Simplify right side
    7,084.50x = 38,532,380.21
  5. Step 5: Solve for x
    x = 38,532,380.21/7,084.50
  6. Step 6: Final answer
    x = 5,438.97

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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.