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Finding the Fourth Proportional to 7,084.88, 9,777.13 and 3,941

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Solution

The fourth proportional to 7,084.88, 9,777.13 and 3,941 is: 5,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.88 : 9,777.13 = 3,941 : x
  2. Step 2: Convert to fraction form
    7,084.88/9,777.13 = 3,941/x
  3. Step 3: Cross multiply
    7,084.88x = 9,777.13 × 3,941
  4. Step 4: Simplify right side
    7,084.88x = 38,531,669.33
  5. Step 5: Solve for x
    x = 38,531,669.33/7,084.88
  6. Step 6: Final answer
    x = 5,438.58

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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.