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Finding the Fourth Proportional to 9,969.14, 13,757.43 and 5,431.80

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Solution

The fourth proportional to 9,969.14, 13,757.43 and 5,431.80 is: 7,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.14 : 13,757.43 = 5,431.80 : x
  2. Step 2: Convert to fraction form
    9,969.14/13,757.43 = 5,431.80/x
  3. Step 3: Cross multiply
    9,969.14x = 13,757.43 × 5,431.80
  4. Step 4: Simplify right side
    9,969.14x = 74,727,608.27
  5. Step 5: Solve for x
    x = 74,727,608.27/9,969.14
  6. Step 6: Final answer
    x = 7,495.89

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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.