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Finding the Fourth Proportional to 6,906.20, 9,530.94 and 3,920.92

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Solution

The fourth proportional to 6,906.20, 9,530.94 and 3,920.92 is: 5,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.20 : 9,530.94 = 3,920.92 : x
  2. Step 2: Convert to fraction form
    6,906.20/9,530.94 = 3,920.92/x
  3. Step 3: Cross multiply
    6,906.20x = 9,530.94 × 3,920.92
  4. Step 4: Simplify right side
    6,906.20x = 37,370,053.26
  5. Step 5: Solve for x
    x = 37,370,053.26/6,906.20
  6. Step 6: Final answer
    x = 5,411.09

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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.