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Finding the Fourth Proportional to 9,071.82, 13,608.23 and 2,832.69

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Solution

The fourth proportional to 9,071.82, 13,608.23 and 2,832.69 is: 4,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.82 : 13,608.23 = 2,832.69 : x
  2. Step 2: Convert to fraction form
    9,071.82/13,608.23 = 2,832.69/x
  3. Step 3: Cross multiply
    9,071.82x = 13,608.23 × 2,832.69
  4. Step 4: Simplify right side
    9,071.82x = 38,547,897.04
  5. Step 5: Solve for x
    x = 38,547,897.04/9,071.82
  6. Step 6: Final answer
    x = 4,249.19

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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.