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Finding the Fourth Proportional to 6,438.64, 9,600.29 and 6,322

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Solution

The fourth proportional to 6,438.64, 9,600.29 and 6,322 is: 9,426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.64 : 9,600.29 = 6,322 : x
  2. Step 2: Convert to fraction form
    6,438.64/9,600.29 = 6,322/x
  3. Step 3: Cross multiply
    6,438.64x = 9,600.29 × 6,322
  4. Step 4: Simplify right side
    6,438.64x = 60,693,033.38
  5. Step 5: Solve for x
    x = 60,693,033.38/6,438.64
  6. Step 6: Final answer
    x = 9,426.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.