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Finding the Fourth Proportional to 9,105.50, 13,657.31 and 2,865.32

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Solution

The fourth proportional to 9,105.50, 13,657.31 and 2,865.32 is: 4,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.50 : 13,657.31 = 2,865.32 : x
  2. Step 2: Convert to fraction form
    9,105.50/13,657.31 = 2,865.32/x
  3. Step 3: Cross multiply
    9,105.50x = 13,657.31 × 2,865.32
  4. Step 4: Simplify right side
    9,105.50x = 39,132,619.66
  5. Step 5: Solve for x
    x = 39,132,619.66/9,105.50
  6. Step 6: Final answer
    x = 4,297.69

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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.