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Finding the Fourth Proportional to 7,210.14, 9,949.92 and 4,067.34

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Solution

The fourth proportional to 7,210.14, 9,949.92 and 4,067.34 is: 5,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.14 : 9,949.92 = 4,067.34 : x
  2. Step 2: Convert to fraction form
    7,210.14/9,949.92 = 4,067.34/x
  3. Step 3: Cross multiply
    7,210.14x = 9,949.92 × 4,067.34
  4. Step 4: Simplify right side
    7,210.14x = 40,469,707.61
  5. Step 5: Solve for x
    x = 40,469,707.61/7,210.14
  6. Step 6: Final answer
    x = 5,612.89

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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.