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Finding the Fourth Proportional to 9,942.50, 13,720.65 and 5,751.02

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Solution

The fourth proportional to 9,942.50, 13,720.65 and 5,751.02 is: 7,936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.50 : 13,720.65 = 5,751.02 : x
  2. Step 2: Convert to fraction form
    9,942.50/13,720.65 = 5,751.02/x
  3. Step 3: Cross multiply
    9,942.50x = 13,720.65 × 5,751.02
  4. Step 4: Simplify right side
    9,942.50x = 78,907,732.56
  5. Step 5: Solve for x
    x = 78,907,732.56/9,942.50
  6. Step 6: Final answer
    x = 7,936.41

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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.