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Finding the Fourth Proportional to 9,274.89, 13,930.63 and 7,969.31

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Solution

The fourth proportional to 9,274.89, 13,930.63 and 7,969.31 is: 11,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.89 : 13,930.63 = 7,969.31 : x
  2. Step 2: Convert to fraction form
    9,274.89/13,930.63 = 7,969.31/x
  3. Step 3: Cross multiply
    9,274.89x = 13,930.63 × 7,969.31
  4. Step 4: Simplify right side
    9,274.89x = 111,017,494.06
  5. Step 5: Solve for x
    x = 111,017,494.06/9,274.89
  6. Step 6: Final answer
    x = 11,969.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.