According to my book, 1 mole of glucose releases 686 kilocalories of energy. It's also mentioned there that 1 mole of fat releases 9.45 kilocalories of energy. But the fact that contradicts this is that fat releases more energy than glucose. Is this just a typo? If that's the case, what is correct?

According to my book Concise Biology Revised edition of Selina Publication for Class IX, "1 mole of glucose releases 686 kilocalories of energy". It's also mentioned there that " They produce more energy than carbohydrates do - one mole of fat releases 9.45 kcal of energy". I think that the measure of the amount of released energy has been messed up. Some sites say that "1 gram of fat releases 9.45 kcal of energy." But, I would highly appreciate it if anyone could explain it in a detailed manner (probably through mathematical calculations) and help me to know the correct value along with unit.