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Finding the Fourth Proportional to 9,993.92, 13,792.27 and 5,746.38

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Solution

The fourth proportional to 9,993.92, 13,792.27 and 5,746.38 is: 7,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.92 : 13,792.27 = 5,746.38 : x
  2. Step 2: Convert to fraction form
    9,993.92/13,792.27 = 5,746.38/x
  3. Step 3: Cross multiply
    9,993.92x = 13,792.27 × 5,746.38
  4. Step 4: Simplify right side
    9,993.92x = 79,255,555.52
  5. Step 5: Solve for x
    x = 79,255,555.52/9,993.92
  6. Step 6: Final answer
    x = 7,930.38

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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.