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Finding the Fourth Proportional to 9,487.75, 13,093.11 and 5,296

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Solution

The fourth proportional to 9,487.75, 13,093.11 and 5,296 is: 7,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.75 : 13,093.11 = 5,296 : x
  2. Step 2: Convert to fraction form
    9,487.75/13,093.11 = 5,296/x
  3. Step 3: Cross multiply
    9,487.75x = 13,093.11 × 5,296
  4. Step 4: Simplify right side
    9,487.75x = 69,341,110.56
  5. Step 5: Solve for x
    x = 69,341,110.56/9,487.75
  6. Step 6: Final answer
    x = 7,308.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.