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Finding the Fourth Proportional to 6,906.36, 9,530.43 and 3,921.81

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Solution

The fourth proportional to 6,906.36, 9,530.43 and 3,921.81 is: 5,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.36 : 9,530.43 = 3,921.81 : x
  2. Step 2: Convert to fraction form
    6,906.36/9,530.43 = 3,921.81/x
  3. Step 3: Cross multiply
    6,906.36x = 9,530.43 × 3,921.81
  4. Step 4: Simplify right side
    6,906.36x = 37,376,535.68
  5. Step 5: Solve for x
    x = 37,376,535.68/6,906.36
  6. Step 6: Final answer
    x = 5,411.90

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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.