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Finding the Fourth Proportional to 9,838.62, 14,759.96 and 5,446.85

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Solution

The fourth proportional to 9,838.62, 14,759.96 and 5,446.85 is: 8,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.62 : 14,759.96 = 5,446.85 : x
  2. Step 2: Convert to fraction form
    9,838.62/14,759.96 = 5,446.85/x
  3. Step 3: Cross multiply
    9,838.62x = 14,759.96 × 5,446.85
  4. Step 4: Simplify right side
    9,838.62x = 80,395,187.09
  5. Step 5: Solve for x
    x = 80,395,187.09/9,838.62
  6. Step 6: Final answer
    x = 8,171.39

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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.