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Finding the Fourth Proportional to 6,246.20, 9,366.86 and 2,781

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Solution

The fourth proportional to 6,246.20, 9,366.86 and 2,781 is: 4,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.20 : 9,366.86 = 2,781 : x
  2. Step 2: Convert to fraction form
    6,246.20/9,366.86 = 2,781/x
  3. Step 3: Cross multiply
    6,246.20x = 9,366.86 × 2,781
  4. Step 4: Simplify right side
    6,246.20x = 26,049,237.66
  5. Step 5: Solve for x
    x = 26,049,237.66/6,246.20
  6. Step 6: Final answer
    x = 4,170.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.