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Finding the Fourth Proportional to 6,632.80, 9,153.42 and 3,648.80

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Solution

The fourth proportional to 6,632.80, 9,153.42 and 3,648.80 is: 5,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.80 : 9,153.42 = 3,648.80 : x
  2. Step 2: Convert to fraction form
    6,632.80/9,153.42 = 3,648.80/x
  3. Step 3: Cross multiply
    6,632.80x = 9,153.42 × 3,648.80
  4. Step 4: Simplify right side
    6,632.80x = 33,398,998.90
  5. Step 5: Solve for x
    x = 33,398,998.90/6,632.80
  6. Step 6: Final answer
    x = 5,035.43

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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.