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Finding the Fourth Proportional to 6,811.88, 9,400.40 and 3,827.71

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Solution

The fourth proportional to 6,811.88, 9,400.40 and 3,827.71 is: 5,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.88 : 9,400.40 = 3,827.71 : x
  2. Step 2: Convert to fraction form
    6,811.88/9,400.40 = 3,827.71/x
  3. Step 3: Cross multiply
    6,811.88x = 9,400.40 × 3,827.71
  4. Step 4: Simplify right side
    6,811.88x = 35,982,005.08
  5. Step 5: Solve for x
    x = 35,982,005.08/6,811.88
  6. Step 6: Final answer
    x = 5,282.24

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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.