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Finding the Fourth Proportional to 6,542.55, 9,813.69 and 2,100.05

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Solution

The fourth proportional to 6,542.55, 9,813.69 and 2,100.05 is: 3,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.55 : 9,813.69 = 2,100.05 : x
  2. Step 2: Convert to fraction form
    6,542.55/9,813.69 = 2,100.05/x
  3. Step 3: Cross multiply
    6,542.55x = 9,813.69 × 2,100.05
  4. Step 4: Simplify right side
    6,542.55x = 20,609,190.62
  5. Step 5: Solve for x
    x = 20,609,190.62/6,542.55
  6. Step 6: Final answer
    x = 3,150.02

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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.