Inferences rhymes with:
biosciences, absences, acceptances, acquaintances, allegiances, alliance's, allowances, announces, annoyances, assurances, benevolences, biosciences, bounces, cadences, clearances, coincidences, conference's, confidences, consciences, continuances, contrivances, conveniences, convinces, countenances, counterbalances, defense's, denounces, differences, disallowances, disappearances, dispenses, divergences, eminences, enhances, expanses, experiences, finances, flashdances, florence's, flounces, france's, glances, hindrances, imbalances, incidences, inconveniences, independence's, influences, insurance's, insurances, issuances, lance's, lawrence's, licences, licenses, minces, mispronounces, nuances, nuisances, observances, occurrences, offenses, ordinances, ordnance's, outdistances, prances, preferences, presences, pretenses, prince's, pronounces, providence's, province's, rance's, reassurances, references, refinances, reliance's, remembrances, reminiscences, remittances, renaissance's, renounces, residences, responses, romances, science's, sciences', sconces, senses, silences, stances, telesciences, terence's, tolerances, tompkinses, utterances, variances
Inferences sounds like:
impairing, imprimis, inference, inferring, informing, informix, informs, infringe, infringes, invariance, inverness