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Finding the Fourth Proportional to 8,954.72, 13,366.34 and 8,294.97

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Solution

The fourth proportional to 8,954.72, 13,366.34 and 8,294.97 is: 12,381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.72 : 13,366.34 = 8,294.97 : x
  2. Step 2: Convert to fraction form
    8,954.72/13,366.34 = 8,294.97/x
  3. Step 3: Cross multiply
    8,954.72x = 13,366.34 × 8,294.97
  4. Step 4: Simplify right side
    8,954.72x = 110,873,389.31
  5. Step 5: Solve for x
    x = 110,873,389.31/8,954.72
  6. Step 6: Final answer
    x = 12,381.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.