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Finding the Fourth Proportional to 6,561.54, 9,837.21 and 3,272.07

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Solution

The fourth proportional to 6,561.54, 9,837.21 and 3,272.07 is: 4,905.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.54 : 9,837.21 = 3,272.07 : x
  2. Step 2: Convert to fraction form
    6,561.54/9,837.21 = 3,272.07/x
  3. Step 3: Cross multiply
    6,561.54x = 9,837.21 × 3,272.07
  4. Step 4: Simplify right side
    6,561.54x = 32,188,039.72
  5. Step 5: Solve for x
    x = 32,188,039.72/6,561.54
  6. Step 6: Final answer
    x = 4,905.56

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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.