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Finding the Fourth Proportional to 9,963.49, 13,744.45 and 8,077.21

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Solution

The fourth proportional to 9,963.49, 13,744.45 and 8,077.21 is: 11,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.49 : 13,744.45 = 8,077.21 : x
  2. Step 2: Convert to fraction form
    9,963.49/13,744.45 = 8,077.21/x
  3. Step 3: Cross multiply
    9,963.49x = 13,744.45 × 8,077.21
  4. Step 4: Simplify right side
    9,963.49x = 111,016,808.98
  5. Step 5: Solve for x
    x = 111,016,808.98/9,963.49
  6. Step 6: Final answer
    x = 11,142.36

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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.