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Finding the Fourth Proportional to 9,851.72, 13,595.66 and 5,375.66

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Solution

The fourth proportional to 9,851.72, 13,595.66 and 5,375.66 is: 7,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.72 : 13,595.66 = 5,375.66 : x
  2. Step 2: Convert to fraction form
    9,851.72/13,595.66 = 5,375.66/x
  3. Step 3: Cross multiply
    9,851.72x = 13,595.66 × 5,375.66
  4. Step 4: Simplify right side
    9,851.72x = 73,085,645.64
  5. Step 5: Solve for x
    x = 73,085,645.64/9,851.72
  6. Step 6: Final answer
    x = 7,418.57

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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.