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Finding the Fourth Proportional to 6,141.45, 9,212.51 and 1,759.24

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Solution

The fourth proportional to 6,141.45, 9,212.51 and 1,759.24 is: 2,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.45 : 9,212.51 = 1,759.24 : x
  2. Step 2: Convert to fraction form
    6,141.45/9,212.51 = 1,759.24/x
  3. Step 3: Cross multiply
    6,141.45x = 9,212.51 × 1,759.24
  4. Step 4: Simplify right side
    6,141.45x = 16,207,052.97
  5. Step 5: Solve for x
    x = 16,207,052.97/6,141.45
  6. Step 6: Final answer
    x = 2,638.96

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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.