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Finding the Fourth Proportional to 9,299.57, 12,827.04 and 5,940.89

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Solution

The fourth proportional to 9,299.57, 12,827.04 and 5,940.89 is: 8,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.57 : 12,827.04 = 5,940.89 : x
  2. Step 2: Convert to fraction form
    9,299.57/12,827.04 = 5,940.89/x
  3. Step 3: Cross multiply
    9,299.57x = 12,827.04 × 5,940.89
  4. Step 4: Simplify right side
    9,299.57x = 76,204,033.67
  5. Step 5: Solve for x
    x = 76,204,033.67/9,299.57
  6. Step 6: Final answer
    x = 8,194.36

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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.