Ayra (actually `A'irah), which can also be spelled as Ayrah, in Arabic means something without an owner or whose owner is unknown, this is the only Arabic word that sounds like Ayra. According to some Islamic name sites Ayra means respectable, but this seems to be the Sindhi meaning of this name with a Chinese origin, though they put it as the Arabic meaning.
Another meaning of Ayra is "vision-filling", eye-weakening", something of which there is so much that it cannot be summed up by the eyes. Thus in Arabic an ayra amount of wealth means so much wealth that it cannot be quantified.
Ayra is an indirect Quranic word derived from AIN-W-R root, since it doesn't have a bad meaning Muslims can use it as a name.
Ayra is pronounced as (A)rdent +pra(Y) + (RU)n