Subjects algebra

Percentage Multiplication B9A472

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Percentage Multiplication B9A472


1. **State the problem:** Calculate the value of the expression $8337.43 \times \left(\frac{14.189}{28.758}\right) \times 49.260\%$. 2. **Understand the components:** - The first number is $8337.43$. - The fraction is $\frac{14.189}{28.758}$. - The percentage $49.260\%$ means $\frac{49.260}{100} = 0.49260$. 3. **Calculate the fraction:** $$\frac{14.189}{28.758} \approx 0.4937$$ 4. **Convert the percentage to decimal:** $$49.260\% = 0.49260$$ 5. **Multiply all parts:** $$8337.43 \times 0.4937 \times 0.49260$$ 6. **Step-by-step multiplication:** - First multiply $8337.43 \times 0.4937 \approx 4117.04$ - Then multiply $4117.04 \times 0.49260 \approx 2028.30$ 7. **Final answer:** $$\boxed{2028.30}$$