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Finding the Fourth Proportional to 6,291.22, 9,434.10 and 3,169.30

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Solution

The fourth proportional to 6,291.22, 9,434.10 and 3,169.30 is: 4,752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.22 : 9,434.10 = 3,169.30 : x
  2. Step 2: Convert to fraction form
    6,291.22/9,434.10 = 3,169.30/x
  3. Step 3: Cross multiply
    6,291.22x = 9,434.10 × 3,169.30
  4. Step 4: Simplify right side
    6,291.22x = 29,899,493.13
  5. Step 5: Solve for x
    x = 29,899,493.13/6,291.22
  6. Step 6: Final answer
    x = 4,752.57

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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.