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Finding the Fourth Proportional to 9,601.75, 13,250.42 and 5,185.75

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Solution

The fourth proportional to 9,601.75, 13,250.42 and 5,185.75 is: 7,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.75 : 13,250.42 = 5,185.75 : x
  2. Step 2: Convert to fraction form
    9,601.75/13,250.42 = 5,185.75/x
  3. Step 3: Cross multiply
    9,601.75x = 13,250.42 × 5,185.75
  4. Step 4: Simplify right side
    9,601.75x = 68,713,365.52
  5. Step 5: Solve for x
    x = 68,713,365.52/9,601.75
  6. Step 6: Final answer
    x = 7,156.34

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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.