How did Sai Baba manage to balance Hindu and Muslim traditions in his daily life and teachings?

According to Chapter 7 of the Shri Sai Satcharitra, Sai Baba masterfully balanced Hindu and Muslim traditions, embodying a synthesis of both. The text highlights this paradox by noting that if he was called a Hindu, he looked like a Yavana (Muslim), and if called a Yavana, he bore the marks of a Hindu. He resided in a mosque, a Muslim practice, yet kept a sacred fire (Dhuni) burning, allowed the ringing of bells, and conducted Bhajans, all of which are Hindu customs. Furthermore, Chapter 7 describes how he would celebrate the Hindu festival of Ram Navami with devotional songs and a cradle, and on the very same night, he would joyfully grant permission for the Muslim Sandal procession, demonstrating his equal and impartial nature.