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Finding the Fourth Proportional to 6,172.20, 9,272.52 and 3,985.20

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Solution

The fourth proportional to 6,172.20, 9,272.52 and 3,985.20 is: 5,986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.20 : 9,272.52 = 3,985.20 : x
  2. Step 2: Convert to fraction form
    6,172.20/9,272.52 = 3,985.20/x
  3. Step 3: Cross multiply
    6,172.20x = 9,272.52 × 3,985.20
  4. Step 4: Simplify right side
    6,172.20x = 36,952,846.70
  5. Step 5: Solve for x
    x = 36,952,846.70/6,172.20
  6. Step 6: Final answer
    x = 5,986.98

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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.