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Finding the Fourth Proportional to 6,769.53, 9,342 and 3,785.54

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Solution

The fourth proportional to 6,769.53, 9,342 and 3,785.54 is: 5,224.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.53 : 9,342 = 3,785.54 : x
  2. Step 2: Convert to fraction form
    6,769.53/9,342 = 3,785.54/x
  3. Step 3: Cross multiply
    6,769.53x = 9,342 × 3,785.54
  4. Step 4: Simplify right side
    6,769.53x = 35,364,467.97
  5. Step 5: Solve for x
    x = 35,364,467.97/6,769.53
  6. Step 6: Final answer
    x = 5,224.07

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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.