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Finding the Fourth Proportional to 7,119.88, 9,825.78 and 3,976

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Solution

The fourth proportional to 7,119.88, 9,825.78 and 3,976 is: 5,487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.88 : 9,825.78 = 3,976 : x
  2. Step 2: Convert to fraction form
    7,119.88/9,825.78 = 3,976/x
  3. Step 3: Cross multiply
    7,119.88x = 9,825.78 × 3,976
  4. Step 4: Simplify right side
    7,119.88x = 39,067,301.28
  5. Step 5: Solve for x
    x = 39,067,301.28/7,119.88
  6. Step 6: Final answer
    x = 5,487.07

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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.