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Finding the Fourth Proportional to 6,443.25, 8,891.69 and 3,648.75

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Solution

The fourth proportional to 6,443.25, 8,891.69 and 3,648.75 is: 5,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.25 : 8,891.69 = 3,648.75 : x
  2. Step 2: Convert to fraction form
    6,443.25/8,891.69 = 3,648.75/x
  3. Step 3: Cross multiply
    6,443.25x = 8,891.69 × 3,648.75
  4. Step 4: Simplify right side
    6,443.25x = 32,443,553.89
  5. Step 5: Solve for x
    x = 32,443,553.89/6,443.25
  6. Step 6: Final answer
    x = 5,035.28

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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.