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Finding the Fourth Proportional to 9,963.24, 13,739.94 and 7,872.36

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Solution

The fourth proportional to 9,963.24, 13,739.94 and 7,872.36 is: 10,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.24 : 13,739.94 = 7,872.36 : x
  2. Step 2: Convert to fraction form
    9,963.24/13,739.94 = 7,872.36/x
  3. Step 3: Cross multiply
    9,963.24x = 13,739.94 × 7,872.36
  4. Step 4: Simplify right side
    9,963.24x = 108,165,754.06
  5. Step 5: Solve for x
    x = 108,165,754.06/9,963.24
  6. Step 6: Final answer
    x = 10,856.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.