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Finding the Fourth Proportional to 9,249.50, 13,867.32 and 3,005.78

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Solution

The fourth proportional to 9,249.50, 13,867.32 and 3,005.78 is: 4,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.50 : 13,867.32 = 3,005.78 : x
  2. Step 2: Convert to fraction form
    9,249.50/13,867.32 = 3,005.78/x
  3. Step 3: Cross multiply
    9,249.50x = 13,867.32 × 3,005.78
  4. Step 4: Simplify right side
    9,249.50x = 41,682,043.77
  5. Step 5: Solve for x
    x = 41,682,043.77/9,249.50
  6. Step 6: Final answer
    x = 4,506.41

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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.