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Finding the Fourth Proportional to 6,782.04, 9,359.04 and 3,797.68

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Solution

The fourth proportional to 6,782.04, 9,359.04 and 3,797.68 is: 5,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.04 : 9,359.04 = 3,797.68 : x
  2. Step 2: Convert to fraction form
    6,782.04/9,359.04 = 3,797.68/x
  3. Step 3: Cross multiply
    6,782.04x = 9,359.04 × 3,797.68
  4. Step 4: Simplify right side
    6,782.04x = 35,542,639.03
  5. Step 5: Solve for x
    x = 35,542,639.03/6,782.04
  6. Step 6: Final answer
    x = 5,240.70

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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.