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Finding the Fourth Proportional to 6,744.68, 9,305.94 and 4,228.04

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Solution

The fourth proportional to 6,744.68, 9,305.94 and 4,228.04 is: 5,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.68 : 9,305.94 = 4,228.04 : x
  2. Step 2: Convert to fraction form
    6,744.68/9,305.94 = 4,228.04/x
  3. Step 3: Cross multiply
    6,744.68x = 9,305.94 × 4,228.04
  4. Step 4: Simplify right side
    6,744.68x = 39,345,886.56
  5. Step 5: Solve for x
    x = 39,345,886.56/6,744.68
  6. Step 6: Final answer
    x = 5,833.62

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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.