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Finding the Fourth Proportional to 12,241.75, 16,892.66 and 6,937.40

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Solution

The fourth proportional to 12,241.75, 16,892.66 and 6,937.40 is: 9,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.75 : 16,892.66 = 6,937.40 : x
  2. Step 2: Convert to fraction form
    12,241.75/16,892.66 = 6,937.40/x
  3. Step 3: Cross multiply
    12,241.75x = 16,892.66 × 6,937.40
  4. Step 4: Simplify right side
    12,241.75x = 117,191,020.33
  5. Step 5: Solve for x
    x = 117,191,020.33/12,241.75
  6. Step 6: Final answer
    x = 9,573.06

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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.