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Finding the Fourth Proportional to 9,125.20, 13,687.80 and 6,014.80

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Solution

The fourth proportional to 9,125.20, 13,687.80 and 6,014.80 is: 9,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.20 : 13,687.80 = 6,014.80 : x
  2. Step 2: Convert to fraction form
    9,125.20/13,687.80 = 6,014.80/x
  3. Step 3: Cross multiply
    9,125.20x = 13,687.80 × 6,014.80
  4. Step 4: Simplify right side
    9,125.20x = 82,329,379.44
  5. Step 5: Solve for x
    x = 82,329,379.44/9,125.20
  6. Step 6: Final answer
    x = 9,022.20

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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.