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Finding the Fourth Proportional to 6,272.88, 9,409.20 and 2,525.62

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Solution

The fourth proportional to 6,272.88, 9,409.20 and 2,525.62 is: 3,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.88 : 9,409.20 = 2,525.62 : x
  2. Step 2: Convert to fraction form
    6,272.88/9,409.20 = 2,525.62/x
  3. Step 3: Cross multiply
    6,272.88x = 9,409.20 × 2,525.62
  4. Step 4: Simplify right side
    6,272.88x = 23,764,063.70
  5. Step 5: Solve for x
    x = 23,764,063.70/6,272.88
  6. Step 6: Final answer
    x = 3,788.38

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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.