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Finding the Fourth Proportional to 6,445.40, 9,665.37 and 2,286.46

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Solution

The fourth proportional to 6,445.40, 9,665.37 and 2,286.46 is: 3,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.40 : 9,665.37 = 2,286.46 : x
  2. Step 2: Convert to fraction form
    6,445.40/9,665.37 = 2,286.46/x
  3. Step 3: Cross multiply
    6,445.40x = 9,665.37 × 2,286.46
  4. Step 4: Simplify right side
    6,445.40x = 22,099,433.56
  5. Step 5: Solve for x
    x = 22,099,433.56/6,445.40
  6. Step 6: Final answer
    x = 3,428.71

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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.