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Finding the Fourth Proportional to 6,291.97, 9,431.34 and 2,128.03

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Solution

The fourth proportional to 6,291.97, 9,431.34 and 2,128.03 is: 3,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.97 : 9,431.34 = 2,128.03 : x
  2. Step 2: Convert to fraction form
    6,291.97/9,431.34 = 2,128.03/x
  3. Step 3: Cross multiply
    6,291.97x = 9,431.34 × 2,128.03
  4. Step 4: Simplify right side
    6,291.97x = 20,070,174.46
  5. Step 5: Solve for x
    x = 20,070,174.46/6,291.97
  6. Step 6: Final answer
    x = 3,189.81

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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.