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Finding the Fourth Proportional to 6,812.05, 9,398.37 and 3,827.47

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Solution

The fourth proportional to 6,812.05, 9,398.37 and 3,827.47 is: 5,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.05 : 9,398.37 = 3,827.47 : x
  2. Step 2: Convert to fraction form
    6,812.05/9,398.37 = 3,827.47/x
  3. Step 3: Cross multiply
    6,812.05x = 9,398.37 × 3,827.47
  4. Step 4: Simplify right side
    6,812.05x = 35,971,979.22
  5. Step 5: Solve for x
    x = 35,971,979.22/6,812.05
  6. Step 6: Final answer
    x = 5,280.64

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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.