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Finding the Fourth Proportional to 6,810.42, 9,398.17 and 3,826.18

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Solution

The fourth proportional to 6,810.42, 9,398.17 and 3,826.18 is: 5,280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.42 : 9,398.17 = 3,826.18 : x
  2. Step 2: Convert to fraction form
    6,810.42/9,398.17 = 3,826.18/x
  3. Step 3: Cross multiply
    6,810.42x = 9,398.17 × 3,826.18
  4. Step 4: Simplify right side
    6,810.42x = 35,959,090.09
  5. Step 5: Solve for x
    x = 35,959,090.09/6,810.42
  6. Step 6: Final answer
    x = 5,280.01

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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.