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Finding the Fourth Proportional to 6,736.52, 9,294.76 and 3,865.54

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Solution

The fourth proportional to 6,736.52, 9,294.76 and 3,865.54 is: 5,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.52 : 9,294.76 = 3,865.54 : x
  2. Step 2: Convert to fraction form
    6,736.52/9,294.76 = 3,865.54/x
  3. Step 3: Cross multiply
    6,736.52x = 9,294.76 × 3,865.54
  4. Step 4: Simplify right side
    6,736.52x = 35,929,266.57
  5. Step 5: Solve for x
    x = 35,929,266.57/6,736.52
  6. Step 6: Final answer
    x = 5,333.51

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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.