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Finding the Fourth Proportional to 9,729.93, 13,414.83 and 7,463.82

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Solution

The fourth proportional to 9,729.93, 13,414.83 and 7,463.82 is: 10,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.93 : 13,414.83 = 7,463.82 : x
  2. Step 2: Convert to fraction form
    9,729.93/13,414.83 = 7,463.82/x
  3. Step 3: Cross multiply
    9,729.93x = 13,414.83 × 7,463.82
  4. Step 4: Simplify right side
    9,729.93x = 100,125,876.45
  5. Step 5: Solve for x
    x = 100,125,876.45/9,729.93
  6. Step 6: Final answer
    x = 10,290.50

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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.