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Finding the Fourth Proportional to 6,769.84, 9,342.36 and 3,785.60

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Solution

The fourth proportional to 6,769.84, 9,342.36 and 3,785.60 is: 5,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.84 : 9,342.36 = 3,785.60 : x
  2. Step 2: Convert to fraction form
    6,769.84/9,342.36 = 3,785.60/x
  3. Step 3: Cross multiply
    6,769.84x = 9,342.36 × 3,785.60
  4. Step 4: Simplify right side
    6,769.84x = 35,366,438.02
  5. Step 5: Solve for x
    x = 35,366,438.02/6,769.84
  6. Step 6: Final answer
    x = 5,224.12

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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.