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Finding the Fourth Proportional to 6,422.75, 9,636.07 and 4,552.26

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Solution

The fourth proportional to 6,422.75, 9,636.07 and 4,552.26 is: 6,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.75 : 9,636.07 = 4,552.26 : x
  2. Step 2: Convert to fraction form
    6,422.75/9,636.07 = 4,552.26/x
  3. Step 3: Cross multiply
    6,422.75x = 9,636.07 × 4,552.26
  4. Step 4: Simplify right side
    6,422.75x = 43,865,860.55
  5. Step 5: Solve for x
    x = 43,865,860.55/6,422.75
  6. Step 6: Final answer
    x = 6,829.76

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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.