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Finding the Fourth Proportional to 6,422.80, 9,636.24 and 2,527.52

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Solution

The fourth proportional to 6,422.80, 9,636.24 and 2,527.52 is: 3,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.80 : 9,636.24 = 2,527.52 : x
  2. Step 2: Convert to fraction form
    6,422.80/9,636.24 = 2,527.52/x
  3. Step 3: Cross multiply
    6,422.80x = 9,636.24 × 2,527.52
  4. Step 4: Simplify right side
    6,422.80x = 24,355,789.32
  5. Step 5: Solve for x
    x = 24,355,789.32/6,422.80
  6. Step 6: Final answer
    x = 3,792.08

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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.