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Finding the Fourth Proportional to 9,376.97, 12,930.33 and 5,834.03

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Solution

The fourth proportional to 9,376.97, 12,930.33 and 5,834.03 is: 8,044.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.97 : 12,930.33 = 5,834.03 : x
  2. Step 2: Convert to fraction form
    9,376.97/12,930.33 = 5,834.03/x
  3. Step 3: Cross multiply
    9,376.97x = 12,930.33 × 5,834.03
  4. Step 4: Simplify right side
    9,376.97x = 75,435,890.36
  5. Step 5: Solve for x
    x = 75,435,890.36/9,376.97
  6. Step 6: Final answer
    x = 8,044.81

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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.