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Finding the Fourth Proportional to 6,238.88, 9,352.20 and 3,466.88

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Solution

The fourth proportional to 6,238.88, 9,352.20 and 3,466.88 is: 5,196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.88 : 9,352.20 = 3,466.88 : x
  2. Step 2: Convert to fraction form
    6,238.88/9,352.20 = 3,466.88/x
  3. Step 3: Cross multiply
    6,238.88x = 9,352.20 × 3,466.88
  4. Step 4: Simplify right side
    6,238.88x = 32,422,955.14
  5. Step 5: Solve for x
    x = 32,422,955.14/6,238.88
  6. Step 6: Final answer
    x = 5,196.92

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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.