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Finding the Fourth Proportional to 6,819.64, 9,411.34 and 3,836

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Solution

The fourth proportional to 6,819.64, 9,411.34 and 3,836 is: 5,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.64 : 9,411.34 = 3,836 : x
  2. Step 2: Convert to fraction form
    6,819.64/9,411.34 = 3,836/x
  3. Step 3: Cross multiply
    6,819.64x = 9,411.34 × 3,836
  4. Step 4: Simplify right side
    6,819.64x = 36,101,900.24
  5. Step 5: Solve for x
    x = 36,101,900.24/6,819.64
  6. Step 6: Final answer
    x = 5,293.81

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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.