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Finding the Fourth Proportional to 6,644.75, 9,956.30 and 3,873.76

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Solution

The fourth proportional to 6,644.75, 9,956.30 and 3,873.76 is: 5,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.75 : 9,956.30 = 3,873.76 : x
  2. Step 2: Convert to fraction form
    6,644.75/9,956.30 = 3,873.76/x
  3. Step 3: Cross multiply
    6,644.75x = 9,956.30 × 3,873.76
  4. Step 4: Simplify right side
    6,644.75x = 38,568,272.43
  5. Step 5: Solve for x
    x = 38,568,272.43/6,644.75
  6. Step 6: Final answer
    x = 5,804.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.