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Finding the Fourth Proportional to 9,963.30, 14,946.92 and 2,943.44

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Solution

The fourth proportional to 9,963.30, 14,946.92 and 2,943.44 is: 4,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.30 : 14,946.92 = 2,943.44 : x
  2. Step 2: Convert to fraction form
    9,963.30/14,946.92 = 2,943.44/x
  3. Step 3: Cross multiply
    9,963.30x = 14,946.92 × 2,943.44
  4. Step 4: Simplify right side
    9,963.30x = 43,995,272.75
  5. Step 5: Solve for x
    x = 43,995,272.75/9,963.30
  6. Step 6: Final answer
    x = 4,415.73

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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.