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Finding the Fourth Proportional to 9,930.75, 13,704.44 and 6,204.75

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Solution

The fourth proportional to 9,930.75, 13,704.44 and 6,204.75 is: 8,562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.75 : 13,704.44 = 6,204.75 : x
  2. Step 2: Convert to fraction form
    9,930.75/13,704.44 = 6,204.75/x
  3. Step 3: Cross multiply
    9,930.75x = 13,704.44 × 6,204.75
  4. Step 4: Simplify right side
    9,930.75x = 85,032,593.07
  5. Step 5: Solve for x
    x = 85,032,593.07/9,930.75
  6. Step 6: Final answer
    x = 8,562.56

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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.