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Finding the Fourth Proportional to 6,297.36, 9,428.22 and 5,234.64

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Solution

The fourth proportional to 6,297.36, 9,428.22 and 5,234.64 is: 7,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.36 : 9,428.22 = 5,234.64 : x
  2. Step 2: Convert to fraction form
    6,297.36/9,428.22 = 5,234.64/x
  3. Step 3: Cross multiply
    6,297.36x = 9,428.22 × 5,234.64
  4. Step 4: Simplify right side
    6,297.36x = 49,353,337.54
  5. Step 5: Solve for x
    x = 49,353,337.54/6,297.36
  6. Step 6: Final answer
    x = 7,837.15

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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.