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Finding the Fourth Proportional to 6,544.56, 9,817.16 and 2,161.92

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Solution

The fourth proportional to 6,544.56, 9,817.16 and 2,161.92 is: 3,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.56 : 9,817.16 = 2,161.92 : x
  2. Step 2: Convert to fraction form
    6,544.56/9,817.16 = 2,161.92/x
  3. Step 3: Cross multiply
    6,544.56x = 9,817.16 × 2,161.92
  4. Step 4: Simplify right side
    6,544.56x = 21,223,914.55
  5. Step 5: Solve for x
    x = 21,223,914.55/6,544.56
  6. Step 6: Final answer
    x = 3,242.99

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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.