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Finding the Fourth Proportional to 6,476.26, 9,711.95 and 2,092.54

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Solution

The fourth proportional to 6,476.26, 9,711.95 and 2,092.54 is: 3,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.26 : 9,711.95 = 2,092.54 : x
  2. Step 2: Convert to fraction form
    6,476.26/9,711.95 = 2,092.54/x
  3. Step 3: Cross multiply
    6,476.26x = 9,711.95 × 2,092.54
  4. Step 4: Simplify right side
    6,476.26x = 20,322,643.85
  5. Step 5: Solve for x
    x = 20,322,643.85/6,476.26
  6. Step 6: Final answer
    x = 3,138.02

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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.