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Finding the Fourth Proportional to 9,952.67, 13,735.01 and 5,704.54

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Solution

The fourth proportional to 9,952.67, 13,735.01 and 5,704.54 is: 7,872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.67 : 13,735.01 = 5,704.54 : x
  2. Step 2: Convert to fraction form
    9,952.67/13,735.01 = 5,704.54/x
  3. Step 3: Cross multiply
    9,952.67x = 13,735.01 × 5,704.54
  4. Step 4: Simplify right side
    9,952.67x = 78,351,893.87
  5. Step 5: Solve for x
    x = 78,351,893.87/9,952.67
  6. Step 6: Final answer
    x = 7,872.45

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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.