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Finding the Fourth Proportional to 6,876.82, 9,490.27 and 3,810.73

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Solution

The fourth proportional to 6,876.82, 9,490.27 and 3,810.73 is: 5,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.82 : 9,490.27 = 3,810.73 : x
  2. Step 2: Convert to fraction form
    6,876.82/9,490.27 = 3,810.73/x
  3. Step 3: Cross multiply
    6,876.82x = 9,490.27 × 3,810.73
  4. Step 4: Simplify right side
    6,876.82x = 36,164,856.60
  5. Step 5: Solve for x
    x = 36,164,856.60/6,876.82
  6. Step 6: Final answer
    x = 5,258.95

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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.