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Finding the Fourth Proportional to 6,542.27, 9,813.32 and 1,611.96

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Solution

The fourth proportional to 6,542.27, 9,813.32 and 1,611.96 is: 2,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.27 : 9,813.32 = 1,611.96 : x
  2. Step 2: Convert to fraction form
    6,542.27/9,813.32 = 1,611.96/x
  3. Step 3: Cross multiply
    6,542.27x = 9,813.32 × 1,611.96
  4. Step 4: Simplify right side
    6,542.27x = 15,818,649.56
  5. Step 5: Solve for x
    x = 15,818,649.56/6,542.27
  6. Step 6: Final answer
    x = 2,417.91

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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.