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Finding the Fourth Proportional to 9,963.66, 14,947.46 and 2,943.80

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Solution

The fourth proportional to 9,963.66, 14,947.46 and 2,943.80 is: 4,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.66 : 14,947.46 = 2,943.80 : x
  2. Step 2: Convert to fraction form
    9,963.66/14,947.46 = 2,943.80/x
  3. Step 3: Cross multiply
    9,963.66x = 14,947.46 × 2,943.80
  4. Step 4: Simplify right side
    9,963.66x = 44,002,243.29
  5. Step 5: Solve for x
    x = 44,002,243.29/9,963.66
  6. Step 6: Final answer
    x = 4,416.27

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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.