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Finding the Fourth Proportional to 9,073.14, 13,609.72 and 2,833.69

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Solution

The fourth proportional to 9,073.14, 13,609.72 and 2,833.69 is: 4,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,073.14 : 13,609.72 = 2,833.69 : x
  2. Step 2: Convert to fraction form
    9,073.14/13,609.72 = 2,833.69/x
  3. Step 3: Cross multiply
    9,073.14x = 13,609.72 × 2,833.69
  4. Step 4: Simplify right side
    9,073.14x = 38,565,727.47
  5. Step 5: Solve for x
    x = 38,565,727.47/9,073.14
  6. Step 6: Final answer
    x = 4,250.54

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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.