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Finding the Fourth Proportional to 9,299.92, 13,949.88 and 3,458

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Solution

The fourth proportional to 9,299.92, 13,949.88 and 3,458 is: 5,187

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.92 : 13,949.88 = 3,458 : x
  2. Step 2: Convert to fraction form
    9,299.92/13,949.88 = 3,458/x
  3. Step 3: Cross multiply
    9,299.92x = 13,949.88 × 3,458
  4. Step 4: Simplify right side
    9,299.92x = 48,238,685.04
  5. Step 5: Solve for x
    x = 48,238,685.04/9,299.92
  6. Step 6: Final answer
    x = 5,187

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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.