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Finding the Fourth Proportional to 9,944.80, 13,724.93 and 5,966.89

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Solution

The fourth proportional to 9,944.80, 13,724.93 and 5,966.89 is: 8,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.80 : 13,724.93 = 5,966.89 : x
  2. Step 2: Convert to fraction form
    9,944.80/13,724.93 = 5,966.89/x
  3. Step 3: Cross multiply
    9,944.80x = 13,724.93 × 5,966.89
  4. Step 4: Simplify right side
    9,944.80x = 81,895,147.57
  5. Step 5: Solve for x
    x = 81,895,147.57/9,944.80
  6. Step 6: Final answer
    x = 8,234.97

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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.