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Finding the Fourth Proportional to 9,792.19, 13,513.23 and 5,813.57

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Solution

The fourth proportional to 9,792.19, 13,513.23 and 5,813.57 is: 8,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.19 : 13,513.23 = 5,813.57 : x
  2. Step 2: Convert to fraction form
    9,792.19/13,513.23 = 5,813.57/x
  3. Step 3: Cross multiply
    9,792.19x = 13,513.23 × 5,813.57
  4. Step 4: Simplify right side
    9,792.19x = 78,560,142.31
  5. Step 5: Solve for x
    x = 78,560,142.31/9,792.19
  6. Step 6: Final answer
    x = 8,022.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.