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Finding the Fourth Proportional to 9,923.84, 13,694.10 and 5,732.36

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Solution

The fourth proportional to 9,923.84, 13,694.10 and 5,732.36 is: 7,910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.84 : 13,694.10 = 5,732.36 : x
  2. Step 2: Convert to fraction form
    9,923.84/13,694.10 = 5,732.36/x
  3. Step 3: Cross multiply
    9,923.84x = 13,694.10 × 5,732.36
  4. Step 4: Simplify right side
    9,923.84x = 78,499,511.08
  5. Step 5: Solve for x
    x = 78,499,511.08/9,923.84
  6. Step 6: Final answer
    x = 7,910.20

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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.