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Finding the Fourth Proportional to 6,422.98, 9,630.81 and 2,525.26

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Solution

The fourth proportional to 6,422.98, 9,630.81 and 2,525.26 is: 3,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.98 : 9,630.81 = 2,525.26 : x
  2. Step 2: Convert to fraction form
    6,422.98/9,630.81 = 2,525.26/x
  3. Step 3: Cross multiply
    6,422.98x = 9,630.81 × 2,525.26
  4. Step 4: Simplify right side
    6,422.98x = 24,320,299.26
  5. Step 5: Solve for x
    x = 24,320,299.26/6,422.98
  6. Step 6: Final answer
    x = 3,786.45

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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.