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Finding the Fourth Proportional to 9,596.44, 13,243.26 and 5,404.84

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Solution

The fourth proportional to 9,596.44, 13,243.26 and 5,404.84 is: 7,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.44 : 13,243.26 = 5,404.84 : x
  2. Step 2: Convert to fraction form
    9,596.44/13,243.26 = 5,404.84/x
  3. Step 3: Cross multiply
    9,596.44x = 13,243.26 × 5,404.84
  4. Step 4: Simplify right side
    9,596.44x = 71,577,701.38
  5. Step 5: Solve for x
    x = 71,577,701.38/9,596.44
  6. Step 6: Final answer
    x = 7,458.78

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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.