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Finding the Fourth Proportional to 6,792.38, 9,373.29 and 4,138.82

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Solution

The fourth proportional to 6,792.38, 9,373.29 and 4,138.82 is: 5,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792.38 : 9,373.29 = 4,138.82 : x
  2. Step 2: Convert to fraction form
    6,792.38/9,373.29 = 4,138.82/x
  3. Step 3: Cross multiply
    6,792.38x = 9,373.29 × 4,138.82
  4. Step 4: Simplify right side
    6,792.38x = 38,794,360.12
  5. Step 5: Solve for x
    x = 38,794,360.12/6,792.38
  6. Step 6: Final answer
    x = 5,711.45

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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.