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Finding the Fourth Proportional to 6,827.44, 9,416.20 and 5,767.68

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Solution

The fourth proportional to 6,827.44, 9,416.20 and 5,767.68 is: 7,954.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.44 : 9,416.20 = 5,767.68 : x
  2. Step 2: Convert to fraction form
    6,827.44/9,416.20 = 5,767.68/x
  3. Step 3: Cross multiply
    6,827.44x = 9,416.20 × 5,767.68
  4. Step 4: Simplify right side
    6,827.44x = 54,309,628.42
  5. Step 5: Solve for x
    x = 54,309,628.42/6,827.44
  6. Step 6: Final answer
    x = 7,954.61

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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.