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Finding the Fourth Proportional to 9,351.36, 14,007.60 and 6,850.80

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Solution

The fourth proportional to 9,351.36, 14,007.60 and 6,850.80 is: 10,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.36 : 14,007.60 = 6,850.80 : x
  2. Step 2: Convert to fraction form
    9,351.36/14,007.60 = 6,850.80/x
  3. Step 3: Cross multiply
    9,351.36x = 14,007.60 × 6,850.80
  4. Step 4: Simplify right side
    9,351.36x = 95,963,266.08
  5. Step 5: Solve for x
    x = 95,963,266.08/9,351.36
  6. Step 6: Final answer
    x = 10,261.96

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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.