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Finding the Fourth Proportional to 6,401.28, 9,540.24 and 6,391.56

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Solution

The fourth proportional to 6,401.28, 9,540.24 and 6,391.56 is: 9,525.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.28 : 9,540.24 = 6,391.56 : x
  2. Step 2: Convert to fraction form
    6,401.28/9,540.24 = 6,391.56/x
  3. Step 3: Cross multiply
    6,401.28x = 9,540.24 × 6,391.56
  4. Step 4: Simplify right side
    6,401.28x = 60,977,016.37
  5. Step 5: Solve for x
    x = 60,977,016.37/6,401.28
  6. Step 6: Final answer
    x = 9,525.75

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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.