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Finding the Fourth Proportional to 9,036.09, 13,482.92 and 8,049.51

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Solution

The fourth proportional to 9,036.09, 13,482.92 and 8,049.51 is: 12,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036.09 : 13,482.92 = 8,049.51 : x
  2. Step 2: Convert to fraction form
    9,036.09/13,482.92 = 8,049.51/x
  3. Step 3: Cross multiply
    9,036.09x = 13,482.92 × 8,049.51
  4. Step 4: Simplify right side
    9,036.09x = 108,530,919.49
  5. Step 5: Solve for x
    x = 108,530,919.49/9,036.09
  6. Step 6: Final answer
    x = 12,010.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.