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Finding the Fourth Proportional to 6,811.79, 9,399.23 and 3,827.05

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Solution

The fourth proportional to 6,811.79, 9,399.23 and 3,827.05 is: 5,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.79 : 9,399.23 = 3,827.05 : x
  2. Step 2: Convert to fraction form
    6,811.79/9,399.23 = 3,827.05/x
  3. Step 3: Cross multiply
    6,811.79x = 9,399.23 × 3,827.05
  4. Step 4: Simplify right side
    6,811.79x = 35,971,280.54
  5. Step 5: Solve for x
    x = 35,971,280.54/6,811.79
  6. Step 6: Final answer
    x = 5,280.74

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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.