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Finding the Fourth Proportional to 6,632.77, 9,153.13 and 3,648.43

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Solution

The fourth proportional to 6,632.77, 9,153.13 and 3,648.43 is: 5,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.77 : 9,153.13 = 3,648.43 : x
  2. Step 2: Convert to fraction form
    6,632.77/9,153.13 = 3,648.43/x
  3. Step 3: Cross multiply
    6,632.77x = 9,153.13 × 3,648.43
  4. Step 4: Simplify right side
    6,632.77x = 33,394,546.08
  5. Step 5: Solve for x
    x = 33,394,546.08/6,632.77
  6. Step 6: Final answer
    x = 5,034.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.