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Finding the Fourth Proportional to 7,135.97, 9,848.41 and 3,949.54

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Solution

The fourth proportional to 7,135.97, 9,848.41 and 3,949.54 is: 5,450.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.97 : 9,848.41 = 3,949.54 : x
  2. Step 2: Convert to fraction form
    7,135.97/9,848.41 = 3,949.54/x
  3. Step 3: Cross multiply
    7,135.97x = 9,848.41 × 3,949.54
  4. Step 4: Simplify right side
    7,135.97x = 38,896,654.74
  5. Step 5: Solve for x
    x = 38,896,654.74/7,135.97
  6. Step 6: Final answer
    x = 5,450.79

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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.