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Finding the Fourth Proportional to 8,649.75, 12,972.23 and 3,383.69

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Solution

The fourth proportional to 8,649.75, 12,972.23 and 3,383.69 is: 5,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.75 : 12,972.23 = 3,383.69 : x
  2. Step 2: Convert to fraction form
    8,649.75/12,972.23 = 3,383.69/x
  3. Step 3: Cross multiply
    8,649.75x = 12,972.23 × 3,383.69
  4. Step 4: Simplify right side
    8,649.75x = 43,893,999.29
  5. Step 5: Solve for x
    x = 43,893,999.29/8,649.75
  6. Step 6: Final answer
    x = 5,074.60

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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.