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Finding the Fourth Proportional to 6,696.90, 9,234.92 and 4,042.73

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Solution

The fourth proportional to 6,696.90, 9,234.92 and 4,042.73 is: 5,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.90 : 9,234.92 = 4,042.73 : x
  2. Step 2: Convert to fraction form
    6,696.90/9,234.92 = 4,042.73/x
  3. Step 3: Cross multiply
    6,696.90x = 9,234.92 × 4,042.73
  4. Step 4: Simplify right side
    6,696.90x = 37,334,221.74
  5. Step 5: Solve for x
    x = 37,334,221.74/6,696.90
  6. Step 6: Final answer
    x = 5,574.85

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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.