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Finding the Fourth Proportional to 6,436.72, 8,882.49 and 3,783.97

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Solution

The fourth proportional to 6,436.72, 8,882.49 and 3,783.97 is: 5,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.72 : 8,882.49 = 3,783.97 : x
  2. Step 2: Convert to fraction form
    6,436.72/8,882.49 = 3,783.97/x
  3. Step 3: Cross multiply
    6,436.72x = 8,882.49 × 3,783.97
  4. Step 4: Simplify right side
    6,436.72x = 33,611,075.69
  5. Step 5: Solve for x
    x = 33,611,075.69/6,436.72
  6. Step 6: Final answer
    x = 5,221.77

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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.