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Finding the Fourth Proportional to 6,826.28, 9,419.78 and 3,841.54

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Solution

The fourth proportional to 6,826.28, 9,419.78 and 3,841.54 is: 5,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.28 : 9,419.78 = 3,841.54 : x
  2. Step 2: Convert to fraction form
    6,826.28/9,419.78 = 3,841.54/x
  3. Step 3: Cross multiply
    6,826.28x = 9,419.78 × 3,841.54
  4. Step 4: Simplify right side
    6,826.28x = 36,186,461.66
  5. Step 5: Solve for x
    x = 36,186,461.66/6,826.28
  6. Step 6: Final answer
    x = 5,301.05

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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.