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Finding the Fourth Proportional to 6,343.92, 9,512.91 and 2,835

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Solution

The fourth proportional to 6,343.92, 9,512.91 and 2,835 is: 4,251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.92 : 9,512.91 = 2,835 : x
  2. Step 2: Convert to fraction form
    6,343.92/9,512.91 = 2,835/x
  3. Step 3: Cross multiply
    6,343.92x = 9,512.91 × 2,835
  4. Step 4: Simplify right side
    6,343.92x = 26,969,099.85
  5. Step 5: Solve for x
    x = 26,969,099.85/6,343.92
  6. Step 6: Final answer
    x = 4,251.17

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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.