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Finding the Fourth Proportional to 9,965.52, 13,750.20 and 7,723.44

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Solution

The fourth proportional to 9,965.52, 13,750.20 and 7,723.44 is: 10,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.52 : 13,750.20 = 7,723.44 : x
  2. Step 2: Convert to fraction form
    9,965.52/13,750.20 = 7,723.44/x
  3. Step 3: Cross multiply
    9,965.52x = 13,750.20 × 7,723.44
  4. Step 4: Simplify right side
    9,965.52x = 106,198,844.69
  5. Step 5: Solve for x
    x = 106,198,844.69/9,965.52
  6. Step 6: Final answer
    x = 10,656.63

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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.