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Finding the Fourth Proportional to 9,249.82, 13,874.80 and 3,703.64

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Solution

The fourth proportional to 9,249.82, 13,874.80 and 3,703.64 is: 5,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.82 : 13,874.80 = 3,703.64 : x
  2. Step 2: Convert to fraction form
    9,249.82/13,874.80 = 3,703.64/x
  3. Step 3: Cross multiply
    9,249.82x = 13,874.80 × 3,703.64
  4. Step 4: Simplify right side
    9,249.82x = 51,387,264.27
  5. Step 5: Solve for x
    x = 51,387,264.27/9,249.82
  6. Step 6: Final answer
    x = 5,555.49

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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.