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Finding the Fourth Proportional to 6,811.97, 9,400.32 and 3,827.93

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Solution

The fourth proportional to 6,811.97, 9,400.32 and 3,827.93 is: 5,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.97 : 9,400.32 = 3,827.93 : x
  2. Step 2: Convert to fraction form
    6,811.97/9,400.32 = 3,827.93/x
  3. Step 3: Cross multiply
    6,811.97x = 9,400.32 × 3,827.93
  4. Step 4: Simplify right side
    6,811.97x = 35,983,719.94
  5. Step 5: Solve for x
    x = 35,983,719.94/6,811.97
  6. Step 6: Final answer
    x = 5,282.43

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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.