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Finding the Fourth Proportional to 6,474.26, 9,709.30 and 2,090.71

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Solution

The fourth proportional to 6,474.26, 9,709.30 and 2,090.71 is: 3,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.26 : 9,709.30 = 2,090.71 : x
  2. Step 2: Convert to fraction form
    6,474.26/9,709.30 = 2,090.71/x
  3. Step 3: Cross multiply
    6,474.26x = 9,709.30 × 2,090.71
  4. Step 4: Simplify right side
    6,474.26x = 20,299,345.35
  5. Step 5: Solve for x
    x = 20,299,345.35/6,474.26
  6. Step 6: Final answer
    x = 3,135.39

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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.