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Finding the Fourth Proportional to 6,322.96, 9,485.56 and 2,161.99

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Solution

The fourth proportional to 6,322.96, 9,485.56 and 2,161.99 is: 3,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.96 : 9,485.56 = 2,161.99 : x
  2. Step 2: Convert to fraction form
    6,322.96/9,485.56 = 2,161.99/x
  3. Step 3: Cross multiply
    6,322.96x = 9,485.56 × 2,161.99
  4. Step 4: Simplify right side
    6,322.96x = 20,507,675.05
  5. Step 5: Solve for x
    x = 20,507,675.05/6,322.96
  6. Step 6: Final answer
    x = 3,243.37

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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.