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Finding the Fourth Proportional to 6,238.80, 9,359.52 and 2,343.24

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Solution

The fourth proportional to 6,238.80, 9,359.52 and 2,343.24 is: 3,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.80 : 9,359.52 = 2,343.24 : x
  2. Step 2: Convert to fraction form
    6,238.80/9,359.52 = 2,343.24/x
  3. Step 3: Cross multiply
    6,238.80x = 9,359.52 × 2,343.24
  4. Step 4: Simplify right side
    6,238.80x = 21,931,601.64
  5. Step 5: Solve for x
    x = 21,931,601.64/6,238.80
  6. Step 6: Final answer
    x = 3,515.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.