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Finding the Fourth Proportional to 6,141.57, 9,212.26 and 3,677.07

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Solution

The fourth proportional to 6,141.57, 9,212.26 and 3,677.07 is: 5,515.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.57 : 9,212.26 = 3,677.07 : x
  2. Step 2: Convert to fraction form
    6,141.57/9,212.26 = 3,677.07/x
  3. Step 3: Cross multiply
    6,141.57x = 9,212.26 × 3,677.07
  4. Step 4: Simplify right side
    6,141.57x = 33,874,124.88
  5. Step 5: Solve for x
    x = 33,874,124.88/6,141.57
  6. Step 6: Final answer
    x = 5,515.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.