July 3 (Reuters) - Private-equity firm New Mountain

Capital has submitted a buyout proposal for healthcare services

provider R1 RCM ( RCM ) in an all-cash deal, valuing the company

at nearly $6 billion as per a filing on Tuesday.

New Mountain Capital submitted an all-cash proposal to

acquire all of the Utah-based company's outstanding shares it

does not already own for a proposed price of $13.25 apiece.

R1 RCM ( RCM ) did not immediately respond to a Reuters request

for comment.

In February, a group of R1 RCM's ( RCM ) investors led by New

Mountain had

submitted a draft proposal

to acquire all of the company's outstanding shares not

owned by the investors for a proposed price of $13.75 per share

in cash.

New Mountain, however, said on July 1 that it was no

longer interested in the joint proposal for the take-private

deal.

The current valuation of the healthcare service provider

stands at $4.59 billion, as per LSEG. Its shares have gained a

little over 5% so far this year.

According to the filing, R1 RCM ( RCM ) has not provided any

response to the private equity firm.