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Finding the Fourth Proportional to 6,561.28, 9,841.92 and 1,944.28

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Solution

The fourth proportional to 6,561.28, 9,841.92 and 1,944.28 is: 2,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.28 : 9,841.92 = 1,944.28 : x
  2. Step 2: Convert to fraction form
    6,561.28/9,841.92 = 1,944.28/x
  3. Step 3: Cross multiply
    6,561.28x = 9,841.92 × 1,944.28
  4. Step 4: Simplify right side
    6,561.28x = 19,135,448.22
  5. Step 5: Solve for x
    x = 19,135,448.22/6,561.28
  6. Step 6: Final answer
    x = 2,916.42

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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.