Using your exact CSS this works in IE9. You may have an error in another place.
Code:
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<title></title>
<style type="text/css">
h1, h2, h3, h4, h5, h6 {font-family: 'times new roman', arial, verdana, helvetica, serif; background-color:none;
font-style:normal; font-variant:normal; font-weight:normal; margin:14px 0 4px 10px;}
h1{font-size: 1.22em;}
h2{font-size: 1.12em;}
h3{font-size: 1.02em;}
h4{font-size: 0.92em;}
h5{font-size: 0.91em;}
h6{font-size: 0.9em;}
</style>
</head>
<body>
<h1> Title Title </h1>
<h2> Title Title </h2>
<h3> Title Title </h3>
<h4> Title Title </h4>
<h5> Title Title </h5>
<h6> Title Title </h6>
</body>
</html>
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