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Finding the Fourth Proportional to 7,084.80, 9,776.80 and 3,940.96

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Solution

The fourth proportional to 7,084.80, 9,776.80 and 3,940.96 is: 5,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.80 : 9,776.80 = 3,940.96 : x
  2. Step 2: Convert to fraction form
    7,084.80/9,776.80 = 3,940.96/x
  3. Step 3: Cross multiply
    7,084.80x = 9,776.80 × 3,940.96
  4. Step 4: Simplify right side
    7,084.80x = 38,529,977.73
  5. Step 5: Solve for x
    x = 38,529,977.73/7,084.80
  6. Step 6: Final answer
    x = 5,438.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.