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Finding the Fourth Proportional to 6,632.86, 9,153.57 and 3,648.82

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Solution

The fourth proportional to 6,632.86, 9,153.57 and 3,648.82 is: 5,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.86 : 9,153.57 = 3,648.82 : x
  2. Step 2: Convert to fraction form
    6,632.86/9,153.57 = 3,648.82/x
  3. Step 3: Cross multiply
    6,632.86x = 9,153.57 × 3,648.82
  4. Step 4: Simplify right side
    6,632.86x = 33,399,729.29
  5. Step 5: Solve for x
    x = 33,399,729.29/6,632.86
  6. Step 6: Final answer
    x = 5,035.49

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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.