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Finding the Fourth Proportional to 7,097.25, 9,794.82 and 3,954.05

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Solution

The fourth proportional to 7,097.25, 9,794.82 and 3,954.05 is: 5,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.25 : 9,794.82 = 3,954.05 : x
  2. Step 2: Convert to fraction form
    7,097.25/9,794.82 = 3,954.05/x
  3. Step 3: Cross multiply
    7,097.25x = 9,794.82 × 3,954.05
  4. Step 4: Simplify right side
    7,097.25x = 38,729,159.05
  5. Step 5: Solve for x
    x = 38,729,159.05/7,097.25
  6. Step 6: Final answer
    x = 5,456.92

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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.