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Finding the Fourth Proportional to 9,753.54, 13,450.68 and 6,399.24

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Solution

The fourth proportional to 9,753.54, 13,450.68 and 6,399.24 is: 8,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.54 : 13,450.68 = 6,399.24 : x
  2. Step 2: Convert to fraction form
    9,753.54/13,450.68 = 6,399.24/x
  3. Step 3: Cross multiply
    9,753.54x = 13,450.68 × 6,399.24
  4. Step 4: Simplify right side
    9,753.54x = 86,074,129.48
  5. Step 5: Solve for x
    x = 86,074,129.48/9,753.54
  6. Step 6: Final answer
    x = 8,824.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.