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Finding the Fourth Proportional to 12,219.66, 16,863.03 and 6,914.43

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Solution

The fourth proportional to 12,219.66, 16,863.03 and 6,914.43 is: 9,541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.66 : 16,863.03 = 6,914.43 : x
  2. Step 2: Convert to fraction form
    12,219.66/16,863.03 = 6,914.43/x
  3. Step 3: Cross multiply
    12,219.66x = 16,863.03 × 6,914.43
  4. Step 4: Simplify right side
    12,219.66x = 116,598,240.52
  5. Step 5: Solve for x
    x = 116,598,240.52/12,219.66
  6. Step 6: Final answer
    x = 9,541.86

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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.