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Finding the Fourth Proportional to 6,811.92, 9,401.16 and 3,827.76

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Solution

The fourth proportional to 6,811.92, 9,401.16 and 3,827.76 is: 5,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.92 : 9,401.16 = 3,827.76 : x
  2. Step 2: Convert to fraction form
    6,811.92/9,401.16 = 3,827.76/x
  3. Step 3: Cross multiply
    6,811.92x = 9,401.16 × 3,827.76
  4. Step 4: Simplify right side
    6,811.92x = 35,985,384.20
  5. Step 5: Solve for x
    x = 35,985,384.20/6,811.92
  6. Step 6: Final answer
    x = 5,282.71

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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.