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Finding the Fourth Proportional to 8,434.53, 12,649.52 and 3,169.33

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Solution

The fourth proportional to 8,434.53, 12,649.52 and 3,169.33 is: 4,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.53 : 12,649.52 = 3,169.33 : x
  2. Step 2: Convert to fraction form
    8,434.53/12,649.52 = 3,169.33/x
  3. Step 3: Cross multiply
    8,434.53x = 12,649.52 × 3,169.33
  4. Step 4: Simplify right side
    8,434.53x = 40,090,461.69
  5. Step 5: Solve for x
    x = 40,090,461.69/8,434.53
  6. Step 6: Final answer
    x = 4,753.14

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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.