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Finding the Fourth Proportional to 6,906.41, 9,532.08 and 4,073.61

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Solution

The fourth proportional to 6,906.41, 9,532.08 and 4,073.61 is: 5,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.41 : 9,532.08 = 4,073.61 : x
  2. Step 2: Convert to fraction form
    6,906.41/9,532.08 = 4,073.61/x
  3. Step 3: Cross multiply
    6,906.41x = 9,532.08 × 4,073.61
  4. Step 4: Simplify right side
    6,906.41x = 38,829,976.41
  5. Step 5: Solve for x
    x = 38,829,976.41/6,906.41
  6. Step 6: Final answer
    x = 5,622.31

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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.