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Finding the Fourth Proportional to 6,784.27, 9,362.78 and 3,759.69

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Solution

The fourth proportional to 6,784.27, 9,362.78 and 3,759.69 is: 5,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.27 : 9,362.78 = 3,759.69 : x
  2. Step 2: Convert to fraction form
    6,784.27/9,362.78 = 3,759.69/x
  3. Step 3: Cross multiply
    6,784.27x = 9,362.78 × 3,759.69
  4. Step 4: Simplify right side
    6,784.27x = 35,201,150.34
  5. Step 5: Solve for x
    x = 35,201,150.34/6,784.27
  6. Step 6: Final answer
    x = 5,188.64

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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.