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Finding the Fourth Proportional to 9,696.39, 14,546.07 and 4,149.75

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Solution

The fourth proportional to 9,696.39, 14,546.07 and 4,149.75 is: 6,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.39 : 14,546.07 = 4,149.75 : x
  2. Step 2: Convert to fraction form
    9,696.39/14,546.07 = 4,149.75/x
  3. Step 3: Cross multiply
    9,696.39x = 14,546.07 × 4,149.75
  4. Step 4: Simplify right side
    9,696.39x = 60,362,553.98
  5. Step 5: Solve for x
    x = 60,362,553.98/9,696.39
  6. Step 6: Final answer
    x = 6,225.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.