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Finding the Fourth Proportional to 8,490.98, 12,731.85 and 2,943.90

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Solution

The fourth proportional to 8,490.98, 12,731.85 and 2,943.90 is: 4,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.98 : 12,731.85 = 2,943.90 : x
  2. Step 2: Convert to fraction form
    8,490.98/12,731.85 = 2,943.90/x
  3. Step 3: Cross multiply
    8,490.98x = 12,731.85 × 2,943.90
  4. Step 4: Simplify right side
    8,490.98x = 37,481,293.22
  5. Step 5: Solve for x
    x = 37,481,293.22/8,490.98
  6. Step 6: Final answer
    x = 4,414.25

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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.