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Finding the Fourth Proportional to 27,834.04, 41,751.02 and 9,366.04

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Solution

The fourth proportional to 27,834.04, 41,751.02 and 9,366.04 is: 14,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.04 : 41,751.02 = 9,366.04 : x
  2. Step 2: Convert to fraction form
    27,834.04/41,751.02 = 9,366.04/x
  3. Step 3: Cross multiply
    27,834.04x = 41,751.02 × 9,366.04
  4. Step 4: Simplify right side
    27,834.04x = 391,041,723.36
  5. Step 5: Solve for x
    x = 391,041,723.36/27,834.04
  6. Step 6: Final answer
    x = 14,049.05

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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.