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Finding the Fourth Proportional to 6,281.28, 8,664.30 and 3,922.97

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Solution

The fourth proportional to 6,281.28, 8,664.30 and 3,922.97 is: 5,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.28 : 8,664.30 = 3,922.97 : x
  2. Step 2: Convert to fraction form
    6,281.28/8,664.30 = 3,922.97/x
  3. Step 3: Cross multiply
    6,281.28x = 8,664.30 × 3,922.97
  4. Step 4: Simplify right side
    6,281.28x = 33,989,745.65
  5. Step 5: Solve for x
    x = 33,989,745.65/6,281.28
  6. Step 6: Final answer
    x = 5,411.28

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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.