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Finding the Fourth Proportional to 6,553.47, 9,837.24 and 3,634.23

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Solution

The fourth proportional to 6,553.47, 9,837.24 and 3,634.23 is: 5,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.47 : 9,837.24 = 3,634.23 : x
  2. Step 2: Convert to fraction form
    6,553.47/9,837.24 = 3,634.23/x
  3. Step 3: Cross multiply
    6,553.47x = 9,837.24 × 3,634.23
  4. Step 4: Simplify right side
    6,553.47x = 35,750,792.73
  5. Step 5: Solve for x
    x = 35,750,792.73/6,553.47
  6. Step 6: Final answer
    x = 5,455.25

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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.