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Finding the Fourth Proportional to 9,695, 13,375.74 and 5,445.48

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Solution

The fourth proportional to 9,695, 13,375.74 and 5,445.48 is: 7,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695 : 13,375.74 = 5,445.48 : x
  2. Step 2: Convert to fraction form
    9,695/13,375.74 = 5,445.48/x
  3. Step 3: Cross multiply
    9,695x = 13,375.74 × 5,445.48
  4. Step 4: Simplify right side
    9,695x = 72,837,324.66
  5. Step 5: Solve for x
    x = 72,837,324.66/9,695
  6. Step 6: Final answer
    x = 7,512.88

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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.