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Finding the Fourth Proportional to 6,696.24, 9,239.82 and 3,824.76

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Solution

The fourth proportional to 6,696.24, 9,239.82 and 3,824.76 is: 5,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.24 : 9,239.82 = 3,824.76 : x
  2. Step 2: Convert to fraction form
    6,696.24/9,239.82 = 3,824.76/x
  3. Step 3: Cross multiply
    6,696.24x = 9,239.82 × 3,824.76
  4. Step 4: Simplify right side
    6,696.24x = 35,340,093.94
  5. Step 5: Solve for x
    x = 35,340,093.94/6,696.24
  6. Step 6: Final answer
    x = 5,277.60

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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.