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Finding the Fourth Proportional to 9,972.01, 13,759.90 and 5,937.67

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Solution

The fourth proportional to 9,972.01, 13,759.90 and 5,937.67 is: 8,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.01 : 13,759.90 = 5,937.67 : x
  2. Step 2: Convert to fraction form
    9,972.01/13,759.90 = 5,937.67/x
  3. Step 3: Cross multiply
    9,972.01x = 13,759.90 × 5,937.67
  4. Step 4: Simplify right side
    9,972.01x = 81,701,745.43
  5. Step 5: Solve for x
    x = 81,701,745.43/9,972.01
  6. Step 6: Final answer
    x = 8,193.11

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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.