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Finding the Fourth Proportional to 6,819.69, 9,411.27 and 4,166.54

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Solution

The fourth proportional to 6,819.69, 9,411.27 and 4,166.54 is: 5,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.69 : 9,411.27 = 4,166.54 : x
  2. Step 2: Convert to fraction form
    6,819.69/9,411.27 = 4,166.54/x
  3. Step 3: Cross multiply
    6,819.69x = 9,411.27 × 4,166.54
  4. Step 4: Simplify right side
    6,819.69x = 39,212,385.85
  5. Step 5: Solve for x
    x = 39,212,385.85/6,819.69
  6. Step 6: Final answer
    x = 5,749.88

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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.