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Finding the Fourth Proportional to 9,199.36, 12,696 and 5,664.64

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Solution

The fourth proportional to 9,199.36, 12,696 and 5,664.64 is: 7,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.36 : 12,696 = 5,664.64 : x
  2. Step 2: Convert to fraction form
    9,199.36/12,696 = 5,664.64/x
  3. Step 3: Cross multiply
    9,199.36x = 12,696 × 5,664.64
  4. Step 4: Simplify right side
    9,199.36x = 71,918,269.44
  5. Step 5: Solve for x
    x = 71,918,269.44/9,199.36
  6. Step 6: Final answer
    x = 7,817.75

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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.