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Finding the Fourth Proportional to 6,472.62, 9,709.52 and 2,090.16

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Solution

The fourth proportional to 6,472.62, 9,709.52 and 2,090.16 is: 3,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.62 : 9,709.52 = 2,090.16 : x
  2. Step 2: Convert to fraction form
    6,472.62/9,709.52 = 2,090.16/x
  3. Step 3: Cross multiply
    6,472.62x = 9,709.52 × 2,090.16
  4. Step 4: Simplify right side
    6,472.62x = 20,294,439.87
  5. Step 5: Solve for x
    x = 20,294,439.87/6,472.62
  6. Step 6: Final answer
    x = 3,135.43

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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.