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Finding the Fourth Proportional to 9,839.84, 14,759.96 and 3,992.45

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Solution

The fourth proportional to 9,839.84, 14,759.96 and 3,992.45 is: 5,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.84 : 14,759.96 = 3,992.45 : x
  2. Step 2: Convert to fraction form
    9,839.84/14,759.96 = 3,992.45/x
  3. Step 3: Cross multiply
    9,839.84x = 14,759.96 × 3,992.45
  4. Step 4: Simplify right side
    9,839.84x = 58,928,308.54
  5. Step 5: Solve for x
    x = 58,928,308.54/9,839.84
  6. Step 6: Final answer
    x = 5,988.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.