This is the 2887th most frequent Russian word.
ваших
"Ваших" means "your" (plural or formal, genitive or accusative case).
The word 'ваших' refers to 'your' in the plural or polite singular genitive or accusative case, modifying 'предложений' (suggestions) in this context.
Я буду ждать ваших предложений.
I will wait for your suggestions.
Here, 'ваших' is used to denote 'your' in the plural or polite singular prepositional case, modifying 'интересах' (interests).
Мы заботимся о ваших интересах.
We care about your interests.
In this sentence, 'ваших' modifies 'гостей' (guests) and is in the genitive case to agree with the verb context.