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Finding the Fourth Proportional to 9,963.14, 14,945.12 and 2,943.15

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Solution

The fourth proportional to 9,963.14, 14,945.12 and 2,943.15 is: 4,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.14 : 14,945.12 = 2,943.15 : x
  2. Step 2: Convert to fraction form
    9,963.14/14,945.12 = 2,943.15/x
  3. Step 3: Cross multiply
    9,963.14x = 14,945.12 × 2,943.15
  4. Step 4: Simplify right side
    9,963.14x = 43,985,715.21
  5. Step 5: Solve for x
    x = 43,985,715.21/9,963.14
  6. Step 6: Final answer
    x = 4,414.85

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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.