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The next of kin normally refers to the person who would be entitled to act to administer his estate.
That is determined by a table of blood relatives. Spouse, children , parents, siblings, nephews/nieces, cousins.
In the absence of those most organisations which require consent for, say, treatment will accept the reality of the situation that you are de facto caring for him.
In addition they may accept you having some authority as his carer.