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Finding the Fourth Proportional to 6,826.08, 9,419.32 and 3,841.84

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Solution

The fourth proportional to 6,826.08, 9,419.32 and 3,841.84 is: 5,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.08 : 9,419.32 = 3,841.84 : x
  2. Step 2: Convert to fraction form
    6,826.08/9,419.32 = 3,841.84/x
  3. Step 3: Cross multiply
    6,826.08x = 9,419.32 × 3,841.84
  4. Step 4: Simplify right side
    6,826.08x = 36,187,520.35
  5. Step 5: Solve for x
    x = 36,187,520.35/6,826.08
  6. Step 6: Final answer
    x = 5,301.36

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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.