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Finding the Fourth Proportional to 9,105.64, 13,657.12 and 2,531.16

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Solution

The fourth proportional to 9,105.64, 13,657.12 and 2,531.16 is: 3,796.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.64 : 13,657.12 = 2,531.16 : x
  2. Step 2: Convert to fraction form
    9,105.64/13,657.12 = 2,531.16/x
  3. Step 3: Cross multiply
    9,105.64x = 13,657.12 × 2,531.16
  4. Step 4: Simplify right side
    9,105.64x = 34,568,355.86
  5. Step 5: Solve for x
    x = 34,568,355.86/9,105.64
  6. Step 6: Final answer
    x = 3,796.37

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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.