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Finding the Fourth Proportional to 6,463.25, 8,917.90 and 3,809.69

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Solution

The fourth proportional to 6,463.25, 8,917.90 and 3,809.69 is: 5,256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.25 : 8,917.90 = 3,809.69 : x
  2. Step 2: Convert to fraction form
    6,463.25/8,917.90 = 3,809.69/x
  3. Step 3: Cross multiply
    6,463.25x = 8,917.90 × 3,809.69
  4. Step 4: Simplify right side
    6,463.25x = 33,974,434.45
  5. Step 5: Solve for x
    x = 33,974,434.45/6,463.25
  6. Step 6: Final answer
    x = 5,256.56

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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.