If you want to describe someone or something as being "next higher in rank" than another, there are several synonyms you can use. For instance, you could say that they are "superior," "higher-ranking," "ranking above," or "more elevated." Alternatively, you might describe them as being "more senior," "more advanced," "more prominent," or "more distinguished." These words all suggest that the person or thing being described has a higher status or position than another, and are useful when comparing the relative importance or status of different individuals or groups. By using these synonyms, you can add nuance and precision to your language, helping to convey your intended meaning more accurately.