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Finding the Fourth Proportional to 9,193, 13,789.78 and 2,267.50

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Solution

The fourth proportional to 9,193, 13,789.78 and 2,267.50 is: 3,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193 : 13,789.78 = 2,267.50 : x
  2. Step 2: Convert to fraction form
    9,193/13,789.78 = 2,267.50/x
  3. Step 3: Cross multiply
    9,193x = 13,789.78 × 2,267.50
  4. Step 4: Simplify right side
    9,193x = 31,268,326.15
  5. Step 5: Solve for x
    x = 31,268,326.15/9,193
  6. Step 6: Final answer
    x = 3,401.32

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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.