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Finding the Fourth Proportional to 6,473.62, 9,708.38 and 2,090.06

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Solution

The fourth proportional to 6,473.62, 9,708.38 and 2,090.06 is: 3,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.62 : 9,708.38 = 2,090.06 : x
  2. Step 2: Convert to fraction form
    6,473.62/9,708.38 = 2,090.06/x
  3. Step 3: Cross multiply
    6,473.62x = 9,708.38 × 2,090.06
  4. Step 4: Simplify right side
    6,473.62x = 20,291,086.25
  5. Step 5: Solve for x
    x = 20,291,086.25/6,473.62
  6. Step 6: Final answer
    x = 3,134.43

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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.