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Finding the Fourth Proportional to 6,736.07, 9,296.97 and 4,220.34

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Solution

The fourth proportional to 6,736.07, 9,296.97 and 4,220.34 is: 5,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.07 : 9,296.97 = 4,220.34 : x
  2. Step 2: Convert to fraction form
    6,736.07/9,296.97 = 4,220.34/x
  3. Step 3: Cross multiply
    6,736.07x = 9,296.97 × 4,220.34
  4. Step 4: Simplify right side
    6,736.07x = 39,236,383.67
  5. Step 5: Solve for x
    x = 39,236,383.67/6,736.07
  6. Step 6: Final answer
    x = 5,824.81

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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.