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Finding the Fourth Proportional to 9,965.07, 13,751.62 and 5,489.24

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Solution

The fourth proportional to 9,965.07, 13,751.62 and 5,489.24 is: 7,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.07 : 13,751.62 = 5,489.24 : x
  2. Step 2: Convert to fraction form
    9,965.07/13,751.62 = 5,489.24/x
  3. Step 3: Cross multiply
    9,965.07x = 13,751.62 × 5,489.24
  4. Step 4: Simplify right side
    9,965.07x = 75,485,942.57
  5. Step 5: Solve for x
    x = 75,485,942.57/9,965.07
  6. Step 6: Final answer
    x = 7,575.05

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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.