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Finding the Fourth Proportional to 6,821.76, 9,414.06 and 3,837.60

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Solution

The fourth proportional to 6,821.76, 9,414.06 and 3,837.60 is: 5,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.76 : 9,414.06 = 3,837.60 : x
  2. Step 2: Convert to fraction form
    6,821.76/9,414.06 = 3,837.60/x
  3. Step 3: Cross multiply
    6,821.76x = 9,414.06 × 3,837.60
  4. Step 4: Simplify right side
    6,821.76x = 36,127,396.66
  5. Step 5: Solve for x
    x = 36,127,396.66/6,821.76
  6. Step 6: Final answer
    x = 5,295.91

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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.