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Finding the Fourth Proportional to 12,189.72, 18,294.16 and 6,266.34

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Solution

The fourth proportional to 12,189.72, 18,294.16 and 6,266.34 is: 9,404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.72 : 18,294.16 = 6,266.34 : x
  2. Step 2: Convert to fraction form
    12,189.72/18,294.16 = 6,266.34/x
  3. Step 3: Cross multiply
    12,189.72x = 18,294.16 × 6,266.34
  4. Step 4: Simplify right side
    12,189.72x = 114,637,426.57
  5. Step 5: Solve for x
    x = 114,637,426.57/12,189.72
  6. Step 6: Final answer
    x = 9,404.43

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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.