I can't say exactly that this ranking is important or not. but to improve the alexa ranking i have read some usefull tips that i want to share with you.

Install the Alexa toolbar or Firefox’s SearchStatus extension and set your blog as your homepage. Put up an Alexa rank widget on your website. Encourage others to use the Alexa toolbar.Work in an Office or own a company? Get friends to review and rate your Alexa website profile. Write or Blog about Alexa. Flaunt your URL in webmaster forums. Write content that is related to webmasters. Use Alexa redirects on your website URL. Post in Asian social networking websites or forums.Create a webmaster tools section on your website. Get Dugg or Stumbled. Use PayperClick Campaigns. Create an Alexa category on your blog and use it to include any articles or news about Alexa. Optimize your popular posts. Buy banners and links for traffic from webmaster forums and websites.Hire forum posters to pimp your website.Pay Cybercafe owners to install the Alexa toolbar and set your website as the homepage for all their computers. Use MySpace . Try Alexa auto-surfs