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Finding the Fourth Proportional to 9,965.68, 14,945.02 and 2,943.82

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Solution

The fourth proportional to 9,965.68, 14,945.02 and 2,943.82 is: 4,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.68 : 14,945.02 = 2,943.82 : x
  2. Step 2: Convert to fraction form
    9,965.68/14,945.02 = 2,943.82/x
  3. Step 3: Cross multiply
    9,965.68x = 14,945.02 × 2,943.82
  4. Step 4: Simplify right side
    9,965.68x = 43,995,448.78
  5. Step 5: Solve for x
    x = 43,995,448.78/9,965.68
  6. Step 6: Final answer
    x = 4,414.70

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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.