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Finding the Fourth Proportional to 10,481.94, 14,471.07 and 6,949.95

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Solution

The fourth proportional to 10,481.94, 14,471.07 and 6,949.95 is: 9,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.94 : 14,471.07 = 6,949.95 : x
  2. Step 2: Convert to fraction form
    10,481.94/14,471.07 = 6,949.95/x
  3. Step 3: Cross multiply
    10,481.94x = 14,471.07 × 6,949.95
  4. Step 4: Simplify right side
    10,481.94x = 100,573,212.95
  5. Step 5: Solve for x
    x = 100,573,212.95/10,481.94
  6. Step 6: Final answer
    x = 9,594.90

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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.