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Finding the Fourth Proportional to 9,072.77, 13,609.16 and 2,833.32

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Solution

The fourth proportional to 9,072.77, 13,609.16 and 2,833.32 is: 4,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.77 : 13,609.16 = 2,833.32 : x
  2. Step 2: Convert to fraction form
    9,072.77/13,609.16 = 2,833.32/x
  3. Step 3: Cross multiply
    9,072.77x = 13,609.16 × 2,833.32
  4. Step 4: Simplify right side
    9,072.77x = 38,559,023.00
  5. Step 5: Solve for x
    x = 38,559,023.00/9,072.77
  6. Step 6: Final answer
    x = 4,249.97

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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.