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Finding the Fourth Proportional to 6,141.43, 9,212.46 and 1,758.93

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Solution

The fourth proportional to 6,141.43, 9,212.46 and 1,758.93 is: 2,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.43 : 9,212.46 = 1,758.93 : x
  2. Step 2: Convert to fraction form
    6,141.43/9,212.46 = 1,758.93/x
  3. Step 3: Cross multiply
    6,141.43x = 9,212.46 × 1,758.93
  4. Step 4: Simplify right side
    6,141.43x = 16,204,072.27
  5. Step 5: Solve for x
    x = 16,204,072.27/6,141.43
  6. Step 6: Final answer
    x = 2,638.49

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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.