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Finding the Fourth Proportional to 12,272.55, 16,936.20 and 6,967.46

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Solution

The fourth proportional to 12,272.55, 16,936.20 and 6,967.46 is: 9,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.55 : 16,936.20 = 6,967.46 : x
  2. Step 2: Convert to fraction form
    12,272.55/16,936.20 = 6,967.46/x
  3. Step 3: Cross multiply
    12,272.55x = 16,936.20 × 6,967.46
  4. Step 4: Simplify right side
    12,272.55x = 118,002,296.05
  5. Step 5: Solve for x
    x = 118,002,296.05/12,272.55
  6. Step 6: Final answer
    x = 9,615.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.