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Finding the Fourth Proportional to 6,908.17, 9,532.95 and 3,923.62

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Solution

The fourth proportional to 6,908.17, 9,532.95 and 3,923.62 is: 5,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.17 : 9,532.95 = 3,923.62 : x
  2. Step 2: Convert to fraction form
    6,908.17/9,532.95 = 3,923.62/x
  3. Step 3: Cross multiply
    6,908.17x = 9,532.95 × 3,923.62
  4. Step 4: Simplify right side
    6,908.17x = 37,403,673.28
  5. Step 5: Solve for x
    x = 37,403,673.28/6,908.17
  6. Step 6: Final answer
    x = 5,414.41

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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.