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Finding the Fourth Proportional to 9,327.84, 13,993.82 and 3,089.80

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Solution

The fourth proportional to 9,327.84, 13,993.82 and 3,089.80 is: 4,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.84 : 13,993.82 = 3,089.80 : x
  2. Step 2: Convert to fraction form
    9,327.84/13,993.82 = 3,089.80/x
  3. Step 3: Cross multiply
    9,327.84x = 13,993.82 × 3,089.80
  4. Step 4: Simplify right side
    9,327.84x = 43,238,105.04
  5. Step 5: Solve for x
    x = 43,238,105.04/9,327.84
  6. Step 6: Final answer
    x = 4,635.38

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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.