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Finding the Fourth Proportional to 6,819.88, 9,411.42 and 3,835.72

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Solution

The fourth proportional to 6,819.88, 9,411.42 and 3,835.72 is: 5,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.88 : 9,411.42 = 3,835.72 : x
  2. Step 2: Convert to fraction form
    6,819.88/9,411.42 = 3,835.72/x
  3. Step 3: Cross multiply
    6,819.88x = 9,411.42 × 3,835.72
  4. Step 4: Simplify right side
    6,819.88x = 36,099,571.92
  5. Step 5: Solve for x
    x = 36,099,571.92/6,819.88
  6. Step 6: Final answer
    x = 5,293.29

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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.