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Finding the Fourth Proportional to 6,936.74, 9,572.64 and 3,792.95

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Solution

The fourth proportional to 6,936.74, 9,572.64 and 3,792.95 is: 5,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.74 : 9,572.64 = 3,792.95 : x
  2. Step 2: Convert to fraction form
    6,936.74/9,572.64 = 3,792.95/x
  3. Step 3: Cross multiply
    6,936.74x = 9,572.64 × 3,792.95
  4. Step 4: Simplify right side
    6,936.74x = 36,308,544.89
  5. Step 5: Solve for x
    x = 36,308,544.89/6,936.74
  6. Step 6: Final answer
    x = 5,234.24

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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.