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Finding the Fourth Proportional to 9,940.50, 13,717.89 and 5,748.75

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Solution

The fourth proportional to 9,940.50, 13,717.89 and 5,748.75 is: 7,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.50 : 13,717.89 = 5,748.75 : x
  2. Step 2: Convert to fraction form
    9,940.50/13,717.89 = 5,748.75/x
  3. Step 3: Cross multiply
    9,940.50x = 13,717.89 × 5,748.75
  4. Step 4: Simplify right side
    9,940.50x = 78,860,720.14
  5. Step 5: Solve for x
    x = 78,860,720.14/9,940.50
  6. Step 6: Final answer
    x = 7,933.28

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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.