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Finding the Fourth Proportional to 9,759.89, 14,639.82 and 2,834.39

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Solution

The fourth proportional to 9,759.89, 14,639.82 and 2,834.39 is: 4,251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.89 : 14,639.82 = 2,834.39 : x
  2. Step 2: Convert to fraction form
    9,759.89/14,639.82 = 2,834.39/x
  3. Step 3: Cross multiply
    9,759.89x = 14,639.82 × 2,834.39
  4. Step 4: Simplify right side
    9,759.89x = 41,494,959.41
  5. Step 5: Solve for x
    x = 41,494,959.41/9,759.89
  6. Step 6: Final answer
    x = 4,251.58

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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.