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Finding the Fourth Proportional to 9,694.45, 13,391.54 and 7,596.52

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Solution

The fourth proportional to 9,694.45, 13,391.54 and 7,596.52 is: 10,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.45 : 13,391.54 = 7,596.52 : x
  2. Step 2: Convert to fraction form
    9,694.45/13,391.54 = 7,596.52/x
  3. Step 3: Cross multiply
    9,694.45x = 13,391.54 × 7,596.52
  4. Step 4: Simplify right side
    9,694.45x = 101,729,058.47
  5. Step 5: Solve for x
    x = 101,729,058.47/9,694.45
  6. Step 6: Final answer
    x = 10,493.53

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