Again, it depends on your money transfer service provider. Some providers are more catered towards bigger transfers and can have minimum transfer thresholds as high as $5,000. However, there are also many providers that can account for smaller transfers.
It is important to bear in mind that the larger the sum of money you want to send, the more checks and balances will be required, i.e. the provider may need you to provide extra verification like proof of identity (e.g. passport), or proof of address (e.g. utility bills).