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Finding the Fourth Proportional to 8,210.31, 11,323.22 and 6,940.34

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Solution

The fourth proportional to 8,210.31, 11,323.22 and 6,940.34 is: 9,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.31 : 11,323.22 = 6,940.34 : x
  2. Step 2: Convert to fraction form
    8,210.31/11,323.22 = 6,940.34/x
  3. Step 3: Cross multiply
    8,210.31x = 11,323.22 × 6,940.34
  4. Step 4: Simplify right side
    8,210.31x = 78,586,996.69
  5. Step 5: Solve for x
    x = 78,586,996.69/8,210.31
  6. Step 6: Final answer
    x = 9,571.75

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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.