Final answer:
The compensating filter is the device used to ensure reproducible radiographs, regardless of tissue-density variations.
Step-by-step explanation:
The device used to ensure reproducible radiographs, regardless of tissue-density variations, is the compensating filter. A compensating filter is a device that is placed in front of the x-ray film to even out the exposure and compensate for the differences in tissue density. It helps to ensure that all parts of the radiograph receive the same amount of radiation, resulting in a clearer and more accurate image.