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Finding the Fourth Proportional to 6,249.09, 9,369 and 3,783.33

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Solution

The fourth proportional to 6,249.09, 9,369 and 3,783.33 is: 5,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.09 : 9,369 = 3,783.33 : x
  2. Step 2: Convert to fraction form
    6,249.09/9,369 = 3,783.33/x
  3. Step 3: Cross multiply
    6,249.09x = 9,369 × 3,783.33
  4. Step 4: Simplify right side
    6,249.09x = 35,446,018.77
  5. Step 5: Solve for x
    x = 35,446,018.77/6,249.09
  6. Step 6: Final answer
    x = 5,672.19

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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.