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Finding the Fourth Proportional to 9,965.28, 13,751.28 and 5,716.32

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Solution

The fourth proportional to 9,965.28, 13,751.28 and 5,716.32 is: 7,888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.28 : 13,751.28 = 5,716.32 : x
  2. Step 2: Convert to fraction form
    9,965.28/13,751.28 = 5,716.32/x
  3. Step 3: Cross multiply
    9,965.28x = 13,751.28 × 5,716.32
  4. Step 4: Simplify right side
    9,965.28x = 78,606,716.89
  5. Step 5: Solve for x
    x = 78,606,716.89/9,965.28
  6. Step 6: Final answer
    x = 7,888.06

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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.