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Finding the Fourth Proportional to 10,947.78, 16,384.32 and 9,194.58

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Solution

The fourth proportional to 10,947.78, 16,384.32 and 9,194.58 is: 13,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.78 : 16,384.32 = 9,194.58 : x
  2. Step 2: Convert to fraction form
    10,947.78/16,384.32 = 9,194.58/x
  3. Step 3: Cross multiply
    10,947.78x = 16,384.32 × 9,194.58
  4. Step 4: Simplify right side
    10,947.78x = 150,646,940.99
  5. Step 5: Solve for x
    x = 150,646,940.99/10,947.78
  6. Step 6: Final answer
    x = 13,760.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.