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Finding the Fourth Proportional to 9,965.68, 13,753.23 and 5,716.71

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Solution

The fourth proportional to 9,965.68, 13,753.23 and 5,716.71 is: 7,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.68 : 13,753.23 = 5,716.71 : x
  2. Step 2: Convert to fraction form
    9,965.68/13,753.23 = 5,716.71/x
  3. Step 3: Cross multiply
    9,965.68x = 13,753.23 × 5,716.71
  4. Step 4: Simplify right side
    9,965.68x = 78,623,213.18
  5. Step 5: Solve for x
    x = 78,623,213.18/9,965.68
  6. Step 6: Final answer
    x = 7,889.40

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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.