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Finding the Fourth Proportional to 12,274.36, 16,939.10 and 6,969.67

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Solution

The fourth proportional to 12,274.36, 16,939.10 and 6,969.67 is: 9,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.36 : 16,939.10 = 6,969.67 : x
  2. Step 2: Convert to fraction form
    12,274.36/16,939.10 = 6,969.67/x
  3. Step 3: Cross multiply
    12,274.36x = 16,939.10 × 6,969.67
  4. Step 4: Simplify right side
    12,274.36x = 118,059,912.17
  5. Step 5: Solve for x
    x = 118,059,912.17/12,274.36
  6. Step 6: Final answer
    x = 9,618.42

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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.