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Finding the Fourth Proportional to 6,298.44, 9,451.32 and 5,960.64

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Solution

The fourth proportional to 6,298.44, 9,451.32 and 5,960.64 is: 8,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.44 : 9,451.32 = 5,960.64 : x
  2. Step 2: Convert to fraction form
    6,298.44/9,451.32 = 5,960.64/x
  3. Step 3: Cross multiply
    6,298.44x = 9,451.32 × 5,960.64
  4. Step 4: Simplify right side
    6,298.44x = 56,335,916.04
  5. Step 5: Solve for x
    x = 56,335,916.04/6,298.44
  6. Step 6: Final answer
    x = 8,944.42

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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.