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Finding the Fourth Proportional to 6,447, 9,669.99 and 2,063.28

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Solution

The fourth proportional to 6,447, 9,669.99 and 2,063.28 is: 3,094.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447 : 9,669.99 = 2,063.28 : x
  2. Step 2: Convert to fraction form
    6,447/9,669.99 = 2,063.28/x
  3. Step 3: Cross multiply
    6,447x = 9,669.99 × 2,063.28
  4. Step 4: Simplify right side
    6,447x = 19,951,896.97
  5. Step 5: Solve for x
    x = 19,951,896.97/6,447
  6. Step 6: Final answer
    x = 3,094.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.