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Finding the Fourth Proportional to 9,382.66, 14,073.27 and 3,834.52

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Solution

The fourth proportional to 9,382.66, 14,073.27 and 3,834.52 is: 5,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.66 : 14,073.27 = 3,834.52 : x
  2. Step 2: Convert to fraction form
    9,382.66/14,073.27 = 3,834.52/x
  3. Step 3: Cross multiply
    9,382.66x = 14,073.27 × 3,834.52
  4. Step 4: Simplify right side
    9,382.66x = 53,964,235.28
  5. Step 5: Solve for x
    x = 53,964,235.28/9,382.66
  6. Step 6: Final answer
    x = 5,751.49

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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.